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Solve the rational equation $\frac{6x+13}{15}+\frac{-2x}{5}=\frac{3x+5}{5x-25}$

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Solution

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Final answer to the problem

$x=20$
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Step-by-step Solution

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Learn how to solve differential calculus problems step by step online. Solve the rational equation (6x+13)/15+(-2x)/5=(3x+5)/(5x-25). Factor the polynomial 5x-25 by it's greatest common factor (GCF): 5. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Simplify the numerators.

Final answer to the problem

$x=20$

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Function Plot

Plotting: $\frac{6x+13}{15}+\frac{-2x}{5}+\frac{-3x-5}{5x-25}$

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x
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(◻)
+
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◻/◻
/
÷
◻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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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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