X^2-1=30X-226

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Solution for X^2-1=30X-226 equation: 


Simplifying
X2 + -1 = 30X + -226

Reorder the terms:
-1 + X2 = 30X + -226

Reorder the terms:
-1 + X2 = -226 + 30X

Solving
-1 + X2 = -226 + 30X

Solving for variable 'X'.

Reorder the terms:
-1 + 226 + -30X + X2 = -226 + 30X + 226 + -30X

Combine like terms: -1 + 226 = 225
225 + -30X + X2 = -226 + 30X + 226 + -30X

Reorder the terms:
225 + -30X + X2 = -226 + 226 + 30X + -30X

Combine like terms: -226 + 226 = 0
225 + -30X + X2 = 0 + 30X + -30X
225 + -30X + X2 = 30X + -30X

Combine like terms: 30X + -30X = 0
225 + -30X + X2 = 0

Factor a trinomial.
(15 + -1X)(15 + -1X) = 0


Subproblem 1
Set the factor '(15 + -1X)' equal to zero and attempt to solve:

Simplifying
15 + -1X = 0

Solving
15 + -1X = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1X = 0 + -15
-1X = 0 + -15

Combine like terms: 0 + -15 = -15
-1X = -15

Divide each side by '-1'.
X = 15

Simplifying
X = 15

Subproblem 2
Set the factor '(15 + -1X)' equal to zero and attempt to solve:

Simplifying
15 + -1X = 0

Solving
15 + -1X = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1X = 0 + -15
-1X = 0 + -15

Combine like terms: 0 + -15 = -15
-1X = -15

Divide each side by '-1'.
X = 15

Simplifying
X = 15
Solution
X = {15, 15}

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