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Simplifying 2x2 + 15 = x2 + -15x + 1 Reorder the terms: 15 + 2x2 = x2 + -15x + 1 Reorder the terms: 15 + 2x2 = 1 + -15x + x2 Solving 15 + 2x2 = 1 + -15x + x2 Solving for variable 'x'. Reorder the terms: 15 + -1 + 15x + 2x2 + -1x2 = 1 + -15x + x2 + -1 + 15x + -1x2 Combine like terms: 15 + -1 = 14 14 + 15x + 2x2 + -1x2 = 1 + -15x + x2 + -1 + 15x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 14 + 15x + 1x2 = 1 + -15x + x2 + -1 + 15x + -1x2 Reorder the terms: 14 + 15x + 1x2 = 1 + -1 + -15x + 15x + x2 + -1x2 Combine like terms: 1 + -1 = 0 14 + 15x + 1x2 = 0 + -15x + 15x + x2 + -1x2 14 + 15x + 1x2 = -15x + 15x + x2 + -1x2 Combine like terms: -15x + 15x = 0 14 + 15x + 1x2 = 0 + x2 + -1x2 14 + 15x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 14 + 15x + 1x2 = 0 Factor a trinomial. (14 + x)(1 + x) = 0Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-14, -1}
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