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Algebra Baldor
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Solve the inequality $2x\left(x+14\right)\leq 68$

Step-by-step Solution

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Solution

Final answer to the problem

$x\leq \sqrt{83}-7$
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Step-by-step Solution

How should I solve this problem?

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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1

Divide both sides of the inequation by $2$

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$x\left(x+14\right)\leq \frac{68}{2}$

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Solve the inequality 2x(x+14)<=68. Divide both sides of the inequation by 2. Divide 68 by 2. Multiply the single term x by each term of the polynomial \left(x+14\right). When multiplying two powers that have the same base (x), you can add the exponents.

Final answer to the problem

$x\leq \sqrt{83}-7$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $x\leq \sqrt{83}-7$

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Answer Assistant

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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