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Simplifying 8x2 + 18x + 24 = 7x2 + 7x Reorder the terms: 24 + 18x + 8x2 = 7x2 + 7x Reorder the terms: 24 + 18x + 8x2 = 7x + 7x2 Solving 24 + 18x + 8x2 = 7x + 7x2 Solving for variable 'x'. Reorder the terms: 24 + 18x + -7x + 8x2 + -7x2 = 7x + 7x2 + -7x + -7x2 Combine like terms: 18x + -7x = 11x 24 + 11x + 8x2 + -7x2 = 7x + 7x2 + -7x + -7x2 Combine like terms: 8x2 + -7x2 = 1x2 24 + 11x + 1x2 = 7x + 7x2 + -7x + -7x2 Reorder the terms: 24 + 11x + 1x2 = 7x + -7x + 7x2 + -7x2 Combine like terms: 7x + -7x = 0 24 + 11x + 1x2 = 0 + 7x2 + -7x2 24 + 11x + 1x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 24 + 11x + 1x2 = 0 Factor a trinomial. (8 + x)(3 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-8, -3}
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