Solve the quadratic equation $\frac{1}{2}\left(x+6\right)^2-2\left(x+6\right)+2\left(x+6\right)-4\left(x+6\right)+4\left(x+6\right)=10$

Step-by-step Solution

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Final answer to the problem

$x=-6+\sqrt{20},\:x=-6-\sqrt{20}$
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Step-by-step Solution

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1

Multiply the single term $-2$ by each term of the polynomial $\left(x+6\right)$

$\frac{1}{2}\left(x+6\right)^2-2x-12+2\left(x+6\right)-4\left(x+6\right)+4\left(x+6\right)=10$

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$\frac{1}{2}\left(x+6\right)^2-2x-12+2\left(x+6\right)-4\left(x+6\right)+4\left(x+6\right)=10$

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Learn how to solve problems step by step online. Solve the quadratic equation 1/2(x+6)^2-2(x+6)2(x+6)-4(x+6)4(x+6)=10. Multiply the single term -2 by each term of the polynomial \left(x+6\right). Multiply the single term 2 by each term of the polynomial \left(x+6\right). Cancel like terms -2x and 2x. Multiply the single term -4 by each term of the polynomial \left(x+6\right).

Final answer to the problem

$x=-6+\sqrt{20},\:x=-6-\sqrt{20}$

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Function Plot

Plotting: $\frac{1}{2}\left(x+6\right)^2-2\left(x+6\right)+2\left(x+6\right)-4\left(x+6\right)+4\left(x+6\right)-10$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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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