16(x-2)(x-2)-25=0

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Solution for 16(x-2)(x-2)-25=0 equation: 


Simplifying
16(x + -2)(x + -2) + -25 = 0

Reorder the terms:
16(-2 + x)(x + -2) + -25 = 0

Reorder the terms:
16(-2 + x)(-2 + x) + -25 = 0

Multiply (-2 + x) * (-2 + x)
16(-2(-2 + x) + x(-2 + x)) + -25 = 0
16((-2 * -2 + x * -2) + x(-2 + x)) + -25 = 0
16((4 + -2x) + x(-2 + x)) + -25 = 0
16(4 + -2x + (-2 * x + x * x)) + -25 = 0
16(4 + -2x + (-2x + x2)) + -25 = 0

Combine like terms: -2x + -2x = -4x
16(4 + -4x + x2) + -25 = 0
(4 * 16 + -4x * 16 + x2 * 16) + -25 = 0
(64 + -64x + 16x2) + -25 = 0

Reorder the terms:
64 + -25 + -64x + 16x2 = 0

Combine like terms: 64 + -25 = 39
39 + -64x + 16x2 = 0

Solving
39 + -64x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(13 + -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 '(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 = {0.75, 3.25}

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