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Simplifying x2 + 8x + 45 = -6x + 5 Reorder the terms: 45 + 8x + x2 = -6x + 5 Reorder the terms: 45 + 8x + x2 = 5 + -6x Solving 45 + 8x + x2 = 5 + -6x Solving for variable 'x'. Reorder the terms: 45 + -5 + 8x + 6x + x2 = 5 + -6x + -5 + 6x Combine like terms: 45 + -5 = 40 40 + 8x + 6x + x2 = 5 + -6x + -5 + 6x Combine like terms: 8x + 6x = 14x 40 + 14x + x2 = 5 + -6x + -5 + 6x Reorder the terms: 40 + 14x + x2 = 5 + -5 + -6x + 6x Combine like terms: 5 + -5 = 0 40 + 14x + x2 = 0 + -6x + 6x 40 + 14x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 40 + 14x + x2 = 0 Factor a trinomial. (10 + x)(4 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-10, -4}
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