25x(x+4)=10x-81

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Solution for 25x(x+4)=10x-81 equation: 


Simplifying
25x(x + 4) = 10x + -81

Reorder the terms:
25x(4 + x) = 10x + -81
(4 * 25x + x * 25x) = 10x + -81
(100x + 25x2) = 10x + -81

Reorder the terms:
100x + 25x2 = -81 + 10x

Solving
100x + 25x2 = -81 + 10x

Solving for variable 'x'.

Reorder the terms:
81 + 100x + -10x + 25x2 = -81 + 10x + 81 + -10x

Combine like terms: 100x + -10x = 90x
81 + 90x + 25x2 = -81 + 10x + 81 + -10x

Reorder the terms:
81 + 90x + 25x2 = -81 + 81 + 10x + -10x

Combine like terms: -81 + 81 = 0
81 + 90x + 25x2 = 0 + 10x + -10x
81 + 90x + 25x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
81 + 90x + 25x2 = 0

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


Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

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

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

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

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

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

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

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

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

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

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {-1.8, -1.8}

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