(x-31)(x+31)=(x-21)(x+21)-83515

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Solution for (x-31)(x+31)=(x-21)(x+21)-83515 equation: 


Simplifying
(x + -31)(x + 31) = (x + -21)(x + 21) + -83515

Reorder the terms:
(-31 + x)(x + 31) = (x + -21)(x + 21) + -83515

Reorder the terms:
(-31 + x)(31 + x) = (x + -21)(x + 21) + -83515

Multiply (-31 + x) * (31 + x)
(-31(31 + x) + x(31 + x)) = (x + -21)(x + 21) + -83515
((31 * -31 + x * -31) + x(31 + x)) = (x + -21)(x + 21) + -83515
((-961 + -31x) + x(31 + x)) = (x + -21)(x + 21) + -83515
(-961 + -31x + (31 * x + x * x)) = (x + -21)(x + 21) + -83515
(-961 + -31x + (31x + x2)) = (x + -21)(x + 21) + -83515

Combine like terms: -31x + 31x = 0
(-961 + 0 + x2) = (x + -21)(x + 21) + -83515
(-961 + x2) = (x + -21)(x + 21) + -83515

Reorder the terms:
-961 + x2 = (-21 + x)(x + 21) + -83515

Reorder the terms:
-961 + x2 = (-21 + x)(21 + x) + -83515

Multiply (-21 + x) * (21 + x)
-961 + x2 = (-21(21 + x) + x(21 + x)) + -83515
-961 + x2 = ((21 * -21 + x * -21) + x(21 + x)) + -83515
-961 + x2 = ((-441 + -21x) + x(21 + x)) + -83515
-961 + x2 = (-441 + -21x + (21 * x + x * x)) + -83515
-961 + x2 = (-441 + -21x + (21x + x2)) + -83515

Combine like terms: -21x + 21x = 0
-961 + x2 = (-441 + 0 + x2) + -83515
-961 + x2 = (-441 + x2) + -83515

Reorder the terms:
-961 + x2 = -441 + -83515 + x2

Combine like terms: -441 + -83515 = -83956
-961 + x2 = -83956 + x2

Add '-1x2' to each side of the equation.
-961 + x2 + -1x2 = -83956 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-961 + 0 = -83956 + x2 + -1x2
-961 = -83956 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-961 = -83956 + 0
-961 = -83956

Solving
-961 = -83956

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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