25x(x+4)=20x-64

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Solution for 25x(x+4)=20x-64 equation: 


Simplifying
25x(x + 4) = 20x + -64

Reorder the terms:
25x(4 + x) = 20x + -64
(4 * 25x + x * 25x) = 20x + -64
(100x + 25x2) = 20x + -64

Reorder the terms:
100x + 25x2 = -64 + 20x

Solving
100x + 25x2 = -64 + 20x

Solving for variable 'x'.

Reorder the terms:
64 + 100x + -20x + 25x2 = -64 + 20x + 64 + -20x

Combine like terms: 100x + -20x = 80x
64 + 80x + 25x2 = -64 + 20x + 64 + -20x

Reorder the terms:
64 + 80x + 25x2 = -64 + 64 + 20x + -20x

Combine like terms: -64 + 64 = 0
64 + 80x + 25x2 = 0 + 20x + -20x
64 + 80x + 25x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
64 + 80x + 25x2 = 0

Factor a trinomial.
(8 + 5x)(8 + 5x) = 0


Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {-1.6, -1.6}

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