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

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


Simplifying
(3x + -2)(3x + -2) = 16x2

Reorder the terms:
(-2 + 3x)(3x + -2) = 16x2

Reorder the terms:
(-2 + 3x)(-2 + 3x) = 16x2

Multiply (-2 + 3x) * (-2 + 3x)
(-2(-2 + 3x) + 3x * (-2 + 3x)) = 16x2
((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = 16x2
((4 + -6x) + 3x * (-2 + 3x)) = 16x2
(4 + -6x + (-2 * 3x + 3x * 3x)) = 16x2
(4 + -6x + (-6x + 9x2)) = 16x2

Combine like terms: -6x + -6x = -12x
(4 + -12x + 9x2) = 16x2

Solving
4 + -12x + 9x2 = 16x2

Solving for variable 'x'.

Combine like terms: 9x2 + -16x2 = -7x2
4 + -12x + -7x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
4 + -12x + -7x2 = 0

Factor a trinomial.
(2 + -7x)(2 + x) = 0


Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0.2857142857, -2}

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