9x(x+5)=5x+25

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Solution for 9x(x+5)=5x+25 equation: 


Simplifying
9x(x + 5) = 5x + 25

Reorder the terms:
9x(5 + x) = 5x + 25
(5 * 9x + x * 9x) = 5x + 25
(45x + 9x2) = 5x + 25

Reorder the terms:
45x + 9x2 = 25 + 5x

Solving
45x + 9x2 = 25 + 5x

Solving for variable 'x'.

Reorder the terms:
-25 + 45x + -5x + 9x2 = 25 + 5x + -25 + -5x

Combine like terms: 45x + -5x = 40x
-25 + 40x + 9x2 = 25 + 5x + -25 + -5x

Reorder the terms:
-25 + 40x + 9x2 = 25 + -25 + 5x + -5x

Combine like terms: 25 + -25 = 0
-25 + 40x + 9x2 = 0 + 5x + -5x
-25 + 40x + 9x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-25 + 40x + 9x2 = 0

Factor a trinomial.
(-5 + -1x)(5 + -9x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556
Solution
x = {-5, 0.5555555556}

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