(x^2-4x+4)-4(4-12x+9x^2)=0

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Solution for (x^2-4x+4)-4(4-12x+9x^2)=0 equation: 


Simplifying
(x2 + -4x + 4) + -4(4 + -12x + 9x2) = 0

Reorder the terms:
(4 + -4x + x2) + -4(4 + -12x + 9x2) = 0

Remove parenthesis around (4 + -4x + x2)
4 + -4x + x2 + -4(4 + -12x + 9x2) = 0
4 + -4x + x2 + (4 * -4 + -12x * -4 + 9x2 * -4) = 0
4 + -4x + x2 + (-16 + 48x + -36x2) = 0

Reorder the terms:
4 + -16 + -4x + 48x + x2 + -36x2 = 0

Combine like terms: 4 + -16 = -12
-12 + -4x + 48x + x2 + -36x2 = 0

Combine like terms: -4x + 48x = 44x
-12 + 44x + x2 + -36x2 = 0

Combine like terms: x2 + -36x2 = -35x2
-12 + 44x + -35x2 = 0

Solving
-12 + 44x + -35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + 7x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-6 + 7x)' equal to zero and attempt to solve:

Simplifying
-6 + 7x = 0

Solving
-6 + 7x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 0 + 6
7x = 0 + 6

Combine like terms: 0 + 6 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0.8571428571, 0.4}

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