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Simplifying x2 + 15x + 53 = -3 Reorder the terms: 53 + 15x + x2 = -3 Solving 53 + 15x + x2 = -3 Solving for variable 'x'. Reorder the terms: 53 + 3 + 15x + x2 = -3 + 3 Combine like terms: 53 + 3 = 56 56 + 15x + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 56 + 15x + x2 = 0 Factor a trinomial. (8 + x)(7 + 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 '(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 = -7Solution
x = {-8, -7}
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