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Simplifying x2 + 2x + 15 = -7x + 1 Reorder the terms: 15 + 2x + x2 = -7x + 1 Reorder the terms: 15 + 2x + x2 = 1 + -7x Solving 15 + 2x + x2 = 1 + -7x Solving for variable 'x'. Reorder the terms: 15 + -1 + 2x + 7x + x2 = 1 + -7x + -1 + 7x Combine like terms: 15 + -1 = 14 14 + 2x + 7x + x2 = 1 + -7x + -1 + 7x Combine like terms: 2x + 7x = 9x 14 + 9x + x2 = 1 + -7x + -1 + 7x Reorder the terms: 14 + 9x + x2 = 1 + -1 + -7x + 7x Combine like terms: 1 + -1 = 0 14 + 9x + x2 = 0 + -7x + 7x 14 + 9x + x2 = -7x + 7x Combine like terms: -7x + 7x = 0 14 + 9x + x2 = 0 Factor a trinomial. (7 + x)(2 + 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 '(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 = -2Solution
x = {-7, -2}
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