(3x-3)(3x-3)=16x^2

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Solution for (3x-3)(3x-3)=16x^2 equation: 


Simplifying
(3x + -3)(3x + -3) = 16x2

Reorder the terms:
(-3 + 3x)(3x + -3) = 16x2

Reorder the terms:
(-3 + 3x)(-3 + 3x) = 16x2

Multiply (-3 + 3x) * (-3 + 3x)
(-3(-3 + 3x) + 3x * (-3 + 3x)) = 16x2
((-3 * -3 + 3x * -3) + 3x * (-3 + 3x)) = 16x2
((9 + -9x) + 3x * (-3 + 3x)) = 16x2
(9 + -9x + (-3 * 3x + 3x * 3x)) = 16x2
(9 + -9x + (-9x + 9x2)) = 16x2

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

Solving
9 + -18x + 9x2 = 16x2

Solving for variable 'x'.

Combine like terms: 9x2 + -16x2 = -7x2
9 + -18x + -7x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
9 + -18x + -7x2 = 0

Factor a trinomial.
(3 + -7x)(3 + x) = 0


Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {0.4285714286, -3}

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