(9x-2)(9x-2)-4=0

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Solution for (9x-2)(9x-2)-4=0 equation: 


Simplifying
(9x + -2)(9x + -2) + -4 = 0

Reorder the terms:
(-2 + 9x)(9x + -2) + -4 = 0

Reorder the terms:
(-2 + 9x)(-2 + 9x) + -4 = 0

Multiply (-2 + 9x) * (-2 + 9x)
(-2(-2 + 9x) + 9x * (-2 + 9x)) + -4 = 0
((-2 * -2 + 9x * -2) + 9x * (-2 + 9x)) + -4 = 0
((4 + -18x) + 9x * (-2 + 9x)) + -4 = 0
(4 + -18x + (-2 * 9x + 9x * 9x)) + -4 = 0
(4 + -18x + (-18x + 81x2)) + -4 = 0

Combine like terms: -18x + -18x = -36x
(4 + -36x + 81x2) + -4 = 0

Reorder the terms:
4 + -4 + -36x + 81x2 = 0

Combine like terms: 4 + -4 = 0
0 + -36x + 81x2 = 0
-36x + 81x2 = 0

Solving
-36x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-4 + 9x) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + 9x)' equal to zero and attempt to solve:

Simplifying
-4 + 9x = 0

Solving
-4 + 9x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 9x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = 0 + 4
9x = 0 + 4

Combine like terms: 0 + 4 = 4
9x = 4

Divide each side by '9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {0, 0.4444444444}

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