(3x-3)(3x-3)=25x^2

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Solution for (3x-3)(3x-3)=25x^2 equation: 


Simplifying
(3x + -3)(3x + -3) = 25x2

Reorder the terms:
(-3 + 3x)(3x + -3) = 25x2

Reorder the terms:
(-3 + 3x)(-3 + 3x) = 25x2

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

Combine like terms: -9x + -9x = -18x
(9 + -18x + 9x2) = 25x2

Solving
9 + -18x + 9x2 = 25x2

Solving for variable 'x'.

Combine like terms: 9x2 + -25x2 = -16x2
9 + -18x + -16x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
9 + -18x + -16x2 = 0

Factor a trinomial.
(3 + -8x)(3 + 2x) = 0


Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0.375, -1.5}

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