(4x-11)(4x-11)=64

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Solution for (4x-11)(4x-11)=64 equation: 


Simplifying
(4x + -11)(4x + -11) = 64

Reorder the terms:
(-11 + 4x)(4x + -11) = 64

Reorder the terms:
(-11 + 4x)(-11 + 4x) = 64

Multiply (-11 + 4x) * (-11 + 4x)
(-11(-11 + 4x) + 4x * (-11 + 4x)) = 64
((-11 * -11 + 4x * -11) + 4x * (-11 + 4x)) = 64
((121 + -44x) + 4x * (-11 + 4x)) = 64
(121 + -44x + (-11 * 4x + 4x * 4x)) = 64
(121 + -44x + (-44x + 16x2)) = 64

Combine like terms: -44x + -44x = -88x
(121 + -88x + 16x2) = 64

Solving
121 + -88x + 16x2 = 64

Solving for variable 'x'.

Reorder the terms:
121 + -64 + -88x + 16x2 = 64 + -64

Combine like terms: 121 + -64 = 57
57 + -88x + 16x2 = 64 + -64

Combine like terms: 64 + -64 = 0
57 + -88x + 16x2 = 0

Factor a trinomial.
(3 + -4x)(19 + -4x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(19 + -4x)' equal to zero and attempt to solve:

Simplifying
19 + -4x = 0

Solving
19 + -4x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -4x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = 0 + -19
-4x = 0 + -19

Combine like terms: 0 + -19 = -19
-4x = -19

Divide each side by '-4'.
x = 4.75

Simplifying
x = 4.75
Solution
x = {0.75, 4.75}

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