(4-4x)(4-4x)=81

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Solution for (4-4x)(4-4x)=81 equation: 


Simplifying
(4 + -4x)(4 + -4x) = 81

Multiply (4 + -4x) * (4 + -4x)
(4(4 + -4x) + -4x * (4 + -4x)) = 81
((4 * 4 + -4x * 4) + -4x * (4 + -4x)) = 81
((16 + -16x) + -4x * (4 + -4x)) = 81
(16 + -16x + (4 * -4x + -4x * -4x)) = 81
(16 + -16x + (-16x + 16x2)) = 81

Combine like terms: -16x + -16x = -32x
(16 + -32x + 16x2) = 81

Solving
16 + -32x + 16x2 = 81

Solving for variable 'x'.

Reorder the terms:
16 + -81 + -32x + 16x2 = 81 + -81

Combine like terms: 16 + -81 = -65
-65 + -32x + 16x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-65 + -32x + 16x2 = 0

Factor a trinomial.
(-5 + -4x)(13 + -4x) = 0


Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 2
Set the factor '(13 + -4x)' equal to zero and attempt to solve:

Simplifying
13 + -4x = 0

Solving
13 + -4x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 0 + -13
-4x = 0 + -13

Combine like terms: 0 + -13 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25
Solution
x = {-1.25, 3.25}

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