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

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


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

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

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

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = x2 + 18x
((3 * -3 + x * -3) + x(3 + x)) = x2 + 18x
((-9 + -3x) + x(3 + x)) = x2 + 18x
(-9 + -3x + (3 * x + x * x)) = x2 + 18x
(-9 + -3x + (3x + x2)) = x2 + 18x

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = x2 + 18x
(-9 + x2) = x2 + 18x

Reorder the terms:
-9 + x2 = 18x + x2

Add '-1x2' to each side of the equation.
-9 + x2 + -1x2 = 18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 0 = 18x + x2 + -1x2
-9 = 18x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 = 18x + 0
-9 = 18x

Solving
-9 = 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.
-9 + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0
-9 + -18x = 0

Add '9' to each side of the equation.
-9 + 9 + -18x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -18x = 0 + 9
-18x = 0 + 9

Combine like terms: 0 + 9 = 9
-18x = 9

Divide each side by '-18'.
x = -0.5

Simplifying
x = -0.5

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