187(x-149)(x-149)=0

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Solution for 187(x-149)(x-149)=0 equation: 


Simplifying
187(x + -149)(x + -149) = 0

Reorder the terms:
187(-149 + x)(x + -149) = 0

Reorder the terms:
187(-149 + x)(-149 + x) = 0

Multiply (-149 + x) * (-149 + x)
187(-149(-149 + x) + x(-149 + x)) = 0
187((-149 * -149 + x * -149) + x(-149 + x)) = 0
187((22201 + -149x) + x(-149 + x)) = 0
187(22201 + -149x + (-149 * x + x * x)) = 0
187(22201 + -149x + (-149x + x2)) = 0

Combine like terms: -149x + -149x = -298x
187(22201 + -298x + x2) = 0
(22201 * 187 + -298x * 187 + x2 * 187) = 0
(4151587 + -55726x + 187x2) = 0

Solving
4151587 + -55726x + 187x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '187'.
187(22201 + -298x + x2) = 0

Factor a trinomial.
187((149 + -1x)(149 + -1x)) = 0

Ignore the factor 187.

Subproblem 1
Set the factor '(149 + -1x)' equal to zero and attempt to solve:

Simplifying
149 + -1x = 0

Solving
149 + -1x = 0

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

Add '-149' to each side of the equation.
149 + -149 + -1x = 0 + -149

Combine like terms: 149 + -149 = 0
0 + -1x = 0 + -149
-1x = 0 + -149

Combine like terms: 0 + -149 = -149
-1x = -149

Divide each side by '-1'.
x = 149

Simplifying
x = 149

Subproblem 2
Set the factor '(149 + -1x)' equal to zero and attempt to solve:

Simplifying
149 + -1x = 0

Solving
149 + -1x = 0

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

Add '-149' to each side of the equation.
149 + -149 + -1x = 0 + -149

Combine like terms: 149 + -149 = 0
0 + -1x = 0 + -149
-1x = 0 + -149

Combine like terms: 0 + -149 = -149
-1x = -149

Divide each side by '-1'.
x = 149

Simplifying
x = 149
Solution
x = {149, 149}

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