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Simplifying x2 + 15x + 31 = 4x + 3 Reorder the terms: 31 + 15x + x2 = 4x + 3 Reorder the terms: 31 + 15x + x2 = 3 + 4x Solving 31 + 15x + x2 = 3 + 4x Solving for variable 'x'. Reorder the terms: 31 + -3 + 15x + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: 31 + -3 = 28 28 + 15x + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: 15x + -4x = 11x 28 + 11x + x2 = 3 + 4x + -3 + -4x Reorder the terms: 28 + 11x + x2 = 3 + -3 + 4x + -4x Combine like terms: 3 + -3 = 0 28 + 11x + x2 = 0 + 4x + -4x 28 + 11x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 28 + 11x + x2 = 0 Factor a trinomial. (7 + x)(4 + x) = 0Subproblem 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 = -7Subproblem 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 = {-7, -4}
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