(3x-4)(x-4)-3x(x)=36

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Solution for (3x-4)(x-4)-3x(x)=36 equation: 


Simplifying
(3x + -4)(x + -4) + -3x(x) = 36

Reorder the terms:
(-4 + 3x)(x + -4) + -3x(x) = 36

Reorder the terms:
(-4 + 3x)(-4 + x) + -3x(x) = 36

Multiply (-4 + 3x) * (-4 + x)
(-4(-4 + x) + 3x * (-4 + x)) + -3x(x) = 36
((-4 * -4 + x * -4) + 3x * (-4 + x)) + -3x(x) = 36
((16 + -4x) + 3x * (-4 + x)) + -3x(x) = 36
(16 + -4x + (-4 * 3x + x * 3x)) + -3x(x) = 36
(16 + -4x + (-12x + 3x2)) + -3x(x) = 36

Combine like terms: -4x + -12x = -16x
(16 + -16x + 3x2) + -3x(x) = 36

Multiply x * x
16 + -16x + 3x2 + -3x2 = 36

Combine like terms: 3x2 + -3x2 = 0
16 + -16x + 0 = 36
16 + -16x = 36

Solving
16 + -16x = 36

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -16x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -16x = 36 + -16
-16x = 36 + -16

Combine like terms: 36 + -16 = 20
-16x = 20

Divide each side by '-16'.
x = -1.25

Simplifying
x = -1.25

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