9x(x+4)=6x-25

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Solution for 9x(x+4)=6x-25 equation: 


Simplifying
9x(x + 4) = 6x + -25

Reorder the terms:
9x(4 + x) = 6x + -25
(4 * 9x + x * 9x) = 6x + -25
(36x + 9x2) = 6x + -25

Reorder the terms:
36x + 9x2 = -25 + 6x

Solving
36x + 9x2 = -25 + 6x

Solving for variable 'x'.

Reorder the terms:
25 + 36x + -6x + 9x2 = -25 + 6x + 25 + -6x

Combine like terms: 36x + -6x = 30x
25 + 30x + 9x2 = -25 + 6x + 25 + -6x

Reorder the terms:
25 + 30x + 9x2 = -25 + 25 + 6x + -6x

Combine like terms: -25 + 25 = 0
25 + 30x + 9x2 = 0 + 6x + -6x
25 + 30x + 9x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
25 + 30x + 9x2 = 0

Factor a trinomial.
(5 + 3x)(5 + 3x) = 0


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-1.666666667, -1.666666667}

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