(5x-3)(5x+3)=72x

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Solution for (5x-3)(5x+3)=72x equation: 


Simplifying
(5x + -3)(5x + 3) = 72x

Reorder the terms:
(-3 + 5x)(5x + 3) = 72x

Reorder the terms:
(-3 + 5x)(3 + 5x) = 72x

Multiply (-3 + 5x) * (3 + 5x)
(-3(3 + 5x) + 5x * (3 + 5x)) = 72x
((3 * -3 + 5x * -3) + 5x * (3 + 5x)) = 72x
((-9 + -15x) + 5x * (3 + 5x)) = 72x
(-9 + -15x + (3 * 5x + 5x * 5x)) = 72x
(-9 + -15x + (15x + 25x2)) = 72x

Combine like terms: -15x + 15x = 0
(-9 + 0 + 25x2) = 72x
(-9 + 25x2) = 72x

Solving
-9 + 25x2 = 72x

Solving for variable 'x'.

Reorder the terms:
-9 + -72x + 25x2 = 72x + -72x

Combine like terms: 72x + -72x = 0
-9 + -72x + 25x2 = 0

Factor a trinomial.
(-3 + -25x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -25x)' equal to zero and attempt to solve:

Simplifying
-3 + -25x = 0

Solving
-3 + -25x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -25x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -25x = 0 + 3
-25x = 0 + 3

Combine like terms: 0 + 3 = 3
-25x = 3

Divide each side by '-25'.
x = -0.12

Simplifying
x = -0.12

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.12, 3}

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