x^2+8x+21=9

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Solution for x^2+8x+21=9 equation:


Simplifying
x2 + 8x + 21 = 9

Reorder the terms:
21 + 8x + x2 = 9

Solving
21 + 8x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
21 + -9 + 8x + x2 = 9 + -9

Combine like terms: 21 + -9 = 12
12 + 8x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
12 + 8x + x2 = 0

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

Subproblem 1

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

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 = {-6, -2}

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