(x-78)(x+78)=(x-68)(x+68)-295

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Solution for (x-78)(x+78)=(x-68)(x+68)-295 equation:


Simplifying
(x + -78)(x + 78) = (x + -68)(x + 68) + -295

Reorder the terms:
(-78 + x)(x + 78) = (x + -68)(x + 68) + -295

Reorder the terms:
(-78 + x)(78 + x) = (x + -68)(x + 68) + -295

Multiply (-78 + x) * (78 + x)
(-78(78 + x) + x(78 + x)) = (x + -68)(x + 68) + -295
((78 * -78 + x * -78) + x(78 + x)) = (x + -68)(x + 68) + -295
((-6084 + -78x) + x(78 + x)) = (x + -68)(x + 68) + -295
(-6084 + -78x + (78 * x + x * x)) = (x + -68)(x + 68) + -295
(-6084 + -78x + (78x + x2)) = (x + -68)(x + 68) + -295

Combine like terms: -78x + 78x = 0
(-6084 + 0 + x2) = (x + -68)(x + 68) + -295
(-6084 + x2) = (x + -68)(x + 68) + -295

Reorder the terms:
-6084 + x2 = (-68 + x)(x + 68) + -295

Reorder the terms:
-6084 + x2 = (-68 + x)(68 + x) + -295

Multiply (-68 + x) * (68 + x)
-6084 + x2 = (-68(68 + x) + x(68 + x)) + -295
-6084 + x2 = ((68 * -68 + x * -68) + x(68 + x)) + -295
-6084 + x2 = ((-4624 + -68x) + x(68 + x)) + -295
-6084 + x2 = (-4624 + -68x + (68 * x + x * x)) + -295
-6084 + x2 = (-4624 + -68x + (68x + x2)) + -295

Combine like terms: -68x + 68x = 0
-6084 + x2 = (-4624 + 0 + x2) + -295
-6084 + x2 = (-4624 + x2) + -295

Reorder the terms:
-6084 + x2 = -4624 + -295 + x2

Combine like terms: -4624 + -295 = -4919
-6084 + x2 = -4919 + x2

Add '-1x2' to each side of the equation.
-6084 + x2 + -1x2 = -4919 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6084 + 0 = -4919 + x2 + -1x2
-6084 = -4919 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6084 = -4919 + 0
-6084 = -4919

Solving
-6084 = -4919

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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