(2x-4)(x-4)=70

Solution for (2x-4)(x-4)=70 equation:

Simplifying
(2x + -4)(x + -4) = 70

Reorder the terms:
(-4 + 2x)(x + -4) = 70

Reorder the terms:
(-4 + 2x)(-4 + x) = 70

Multiply (-4 + 2x) * (-4 + x)
(-4(-4 + x) + 2x * (-4 + x)) = 70
((-4 * -4 + x * -4) + 2x * (-4 + x)) = 70
((16 + -4x) + 2x * (-4 + x)) = 70
(16 + -4x + (-4 * 2x + x * 2x)) = 70
(16 + -4x + (-8x + 2x2)) = 70

Combine like terms: -4x + -8x = -12x
(16 + -12x + 2x2) = 70

Solving
16 + -12x + 2x2 = 70

Solving for variable 'x'.

Reorder the terms:
16 + -70 + -12x + 2x2 = 70 + -70

Combine like terms: 16 + -70 = -54
-54 + -12x + 2x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-54 + -12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + -6x + x2) = 0

Factor a trinomial.
2((-3 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-3, 9}