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

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


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

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

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

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

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

Combine like terms: 3x + 6x = 9x
-18 + 3x + x2 = (18 + 9x + x2)

Add '-1x2' to each side of the equation.
-18 + 3x + x2 + -1x2 = 18 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 3x + 0 = 18 + 9x + x2 + -1x2
-18 + 3x = 18 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 3x = 18 + 9x + 0
-18 + 3x = 18 + 9x

Solving
-18 + 3x = 18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-18 + 3x + -9x = 18 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-18 + -6x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + -6x = 18 + 0
-18 + -6x = 18

Add '18' to each side of the equation.
-18 + 18 + -6x = 18 + 18

Combine like terms: -18 + 18 = 0
0 + -6x = 18 + 18
-6x = 18 + 18

Combine like terms: 18 + 18 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6

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