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Simplifying x2 + 14x + 15 = 2x + 4 Reorder the terms: 15 + 14x + x2 = 2x + 4 Reorder the terms: 15 + 14x + x2 = 4 + 2x Solving 15 + 14x + x2 = 4 + 2x Solving for variable 'x'. Reorder the terms: 15 + -4 + 14x + -2x + x2 = 4 + 2x + -4 + -2x Combine like terms: 15 + -4 = 11 11 + 14x + -2x + x2 = 4 + 2x + -4 + -2x Combine like terms: 14x + -2x = 12x 11 + 12x + x2 = 4 + 2x + -4 + -2x Reorder the terms: 11 + 12x + x2 = 4 + -4 + 2x + -2x Combine like terms: 4 + -4 = 0 11 + 12x + x2 = 0 + 2x + -2x 11 + 12x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 11 + 12x + x2 = 0 Factor a trinomial. (11 + x)(1 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 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 = {-11, -1}
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