(X+3)*(X-3)-(X-9)*(X+1)=8X

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Solution for (X+3)*(X-3)-(X-9)*(X+1)=8X equation: 


Simplifying
(X + 3)(X + -3) + -1(X + -9)(X + 1) = 8X

Reorder the terms:
(3 + X)(X + -3) + -1(X + -9)(X + 1) = 8X

Reorder the terms:
(3 + X)(-3 + X) + -1(X + -9)(X + 1) = 8X

Multiply (3 + X) * (-3 + X)
(3(-3 + X) + X(-3 + X)) + -1(X + -9)(X + 1) = 8X
((-3 * 3 + X * 3) + X(-3 + X)) + -1(X + -9)(X + 1) = 8X
((-9 + 3X) + X(-3 + X)) + -1(X + -9)(X + 1) = 8X
(-9 + 3X + (-3 * X + X * X)) + -1(X + -9)(X + 1) = 8X
(-9 + 3X + (-3X + X2)) + -1(X + -9)(X + 1) = 8X

Combine like terms: 3X + -3X = 0
(-9 + 0 + X2) + -1(X + -9)(X + 1) = 8X
(-9 + X2) + -1(X + -9)(X + 1) = 8X

Reorder the terms:
-9 + X2 + -1(-9 + X)(X + 1) = 8X

Reorder the terms:
-9 + X2 + -1(-9 + X)(1 + X) = 8X

Multiply (-9 + X) * (1 + X)
-9 + X2 + -1(-9(1 + X) + X(1 + X)) = 8X
-9 + X2 + -1((1 * -9 + X * -9) + X(1 + X)) = 8X
-9 + X2 + -1((-9 + -9X) + X(1 + X)) = 8X
-9 + X2 + -1(-9 + -9X + (1 * X + X * X)) = 8X
-9 + X2 + -1(-9 + -9X + (1X + X2)) = 8X

Combine like terms: -9X + 1X = -8X
-9 + X2 + -1(-9 + -8X + X2) = 8X
-9 + X2 + (-9 * -1 + -8X * -1 + X2 * -1) = 8X
-9 + X2 + (9 + 8X + -1X2) = 8X

Reorder the terms:
-9 + 9 + 8X + X2 + -1X2 = 8X

Combine like terms: -9 + 9 = 0
0 + 8X + X2 + -1X2 = 8X
8X + X2 + -1X2 = 8X

Combine like terms: X2 + -1X2 = 0
8X + 0 = 8X
8X = 8X

Add '-8X' to each side of the equation.
8X + -8X = 8X + -8X

Combine like terms: 8X + -8X = 0
0 = 8X + -8X

Combine like terms: 8X + -8X = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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