x(x-15)-3=(x+6)(x-6)-18x

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Solution for x(x-15)-3=(x+6)(x-6)-18x equation:


Simplifying
x(x + -15) + -3 = (x + 6)(x + -6) + -18x

Reorder the terms:
x(-15 + x) + -3 = (x + 6)(x + -6) + -18x
(-15 * x + x * x) + -3 = (x + 6)(x + -6) + -18x
(-15x + x2) + -3 = (x + 6)(x + -6) + -18x

Reorder the terms:
-3 + -15x + x2 = (x + 6)(x + -6) + -18x

Reorder the terms:
-3 + -15x + x2 = (6 + x)(x + -6) + -18x

Reorder the terms:
-3 + -15x + x2 = (6 + x)(-6 + x) + -18x

Multiply (6 + x) * (-6 + x)
-3 + -15x + x2 = (6(-6 + x) + x(-6 + x)) + -18x
-3 + -15x + x2 = ((-6 * 6 + x * 6) + x(-6 + x)) + -18x
-3 + -15x + x2 = ((-36 + 6x) + x(-6 + x)) + -18x
-3 + -15x + x2 = (-36 + 6x + (-6 * x + x * x)) + -18x
-3 + -15x + x2 = (-36 + 6x + (-6x + x2)) + -18x

Combine like terms: 6x + -6x = 0
-3 + -15x + x2 = (-36 + 0 + x2) + -18x
-3 + -15x + x2 = (-36 + x2) + -18x

Reorder the terms:
-3 + -15x + x2 = -36 + -18x + x2

Add '-1x2' to each side of the equation.
-3 + -15x + x2 + -1x2 = -36 + -18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -15x + 0 = -36 + -18x + x2 + -1x2
-3 + -15x = -36 + -18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + -15x = -36 + -18x + 0
-3 + -15x = -36 + -18x

Solving
-3 + -15x = -36 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-3 + -15x + 18x = -36 + -18x + 18x

Combine like terms: -15x + 18x = 3x
-3 + 3x = -36 + -18x + 18x

Combine like terms: -18x + 18x = 0
-3 + 3x = -36 + 0
-3 + 3x = -36

Add '3' to each side of the equation.
-3 + 3 + 3x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -36 + 3
3x = -36 + 3

Combine like terms: -36 + 3 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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