(x+6)(x-3)=x^2+6x-3x-18

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Solution for (x+6)(x-3)=x^2+6x-3x-18 equation: 


Simplifying
(x + 6)(x + -3) = x2 + 6x + -3x + -18

Reorder the terms:
(6 + x)(x + -3) = x2 + 6x + -3x + -18

Reorder the terms:
(6 + x)(-3 + x) = x2 + 6x + -3x + -18

Multiply (6 + x) * (-3 + x)
(6(-3 + x) + x(-3 + x)) = x2 + 6x + -3x + -18
((-3 * 6 + x * 6) + x(-3 + x)) = x2 + 6x + -3x + -18
((-18 + 6x) + x(-3 + x)) = x2 + 6x + -3x + -18
(-18 + 6x + (-3 * x + x * x)) = x2 + 6x + -3x + -18
(-18 + 6x + (-3x + x2)) = x2 + 6x + -3x + -18

Combine like terms: 6x + -3x = 3x
(-18 + 3x + x2) = x2 + 6x + -3x + -18

Reorder the terms:
-18 + 3x + x2 = -18 + 6x + -3x + x2

Combine like terms: 6x + -3x = 3x
-18 + 3x + x2 = -18 + 3x + x2

Add '18' to each side of the equation.
-18 + 3x + 18 + x2 = -18 + 3x + 18 + x2

Reorder the terms:
-18 + 18 + 3x + x2 = -18 + 3x + 18 + x2

Combine like terms: -18 + 18 = 0
0 + 3x + x2 = -18 + 3x + 18 + x2
3x + x2 = -18 + 3x + 18 + x2

Reorder the terms:
3x + x2 = -18 + 18 + 3x + x2

Combine like terms: -18 + 18 = 0
3x + x2 = 0 + 3x + x2
3x + x2 = 3x + x2

Add '-3x' to each side of the equation.
3x + -3x + x2 = 3x + -3x + x2

Combine like terms: 3x + -3x = 0
0 + x2 = 3x + -3x + x2
x2 = 3x + -3x + x2

Combine like terms: 3x + -3x = 0
x2 = 0 + x2
x2 = x2

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

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

Combine like terms: x2 + -1x2 = 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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