(x-4)(x-4)=225

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Solution for (x-4)(x-4)=225 equation: 


Simplifying
(x + -4)(x + -4) = 225

Reorder the terms:
(-4 + x)(x + -4) = 225

Reorder the terms:
(-4 + x)(-4 + x) = 225

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) = 225
((-4 * -4 + x * -4) + x(-4 + x)) = 225
((16 + -4x) + x(-4 + x)) = 225
(16 + -4x + (-4 * x + x * x)) = 225
(16 + -4x + (-4x + x2)) = 225

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) = 225

Solving
16 + -8x + x2 = 225

Solving for variable 'x'.

Reorder the terms:
16 + -225 + -8x + x2 = 225 + -225

Combine like terms: 16 + -225 = -209
-209 + -8x + x2 = 225 + -225

Combine like terms: 225 + -225 = 0
-209 + -8x + x2 = 0

Factor a trinomial.
(-11 + -1x)(19 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 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 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-11, 19}

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