x(x+9)=-14

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Solution for x(x+9)=-14 equation:


Simplifying
x(x + 9) = -14

Reorder the terms:
x(9 + x) = -14
(9 * x + x * x) = -14
(9x + x2) = -14

Solving
9x + x2 = -14

Solving for variable 'x'.

Reorder the terms:
14 + 9x + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + 9x + x2 = 0

Factor a trinomial.
(7 + x)(2 + x) = 0

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-7, -2}

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