(x+3)(x)=(18)

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Solution for (x+3)(x)=(18) equation:


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

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

Reorder the terms for easier multiplication:
x(3 + x) = (18)
(3 * x + x * x) = (18)
(3x + x2) = (18)
3x + x2 = 18

Solving
3x + x2 = 18

Solving for variable 'x'.

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

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

Factor a trinomial.
(-6 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-6, 3}

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