(x-14)(x-14)=25

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Solution for (x-14)(x-14)=25 equation: 


Simplifying
(x + -14)(x + -14) = 25

Reorder the terms:
(-14 + x)(x + -14) = 25

Reorder the terms:
(-14 + x)(-14 + x) = 25

Multiply (-14 + x) * (-14 + x)
(-14(-14 + x) + x(-14 + x)) = 25
((-14 * -14 + x * -14) + x(-14 + x)) = 25
((196 + -14x) + x(-14 + x)) = 25
(196 + -14x + (-14 * x + x * x)) = 25
(196 + -14x + (-14x + x2)) = 25

Combine like terms: -14x + -14x = -28x
(196 + -28x + x2) = 25

Solving
196 + -28x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
196 + -25 + -28x + x2 = 25 + -25

Combine like terms: 196 + -25 = 171
171 + -28x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
171 + -28x + x2 = 0

Factor a trinomial.
(9 + -1x)(19 + -1x) = 0


Subproblem 1
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

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 = {9, 19}

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