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Simplifying 2x2 + 4x = 3x2 + -1x + -14 Reorder the terms: 4x + 2x2 = 3x2 + -1x + -14 Reorder the terms: 4x + 2x2 = -14 + -1x + 3x2 Solving 4x + 2x2 = -14 + -1x + 3x2 Solving for variable 'x'. Reorder the terms: 14 + 4x + x + 2x2 + -3x2 = -14 + -1x + 3x2 + 14 + x + -3x2 Combine like terms: 4x + x = 5x 14 + 5x + 2x2 + -3x2 = -14 + -1x + 3x2 + 14 + x + -3x2 Combine like terms: 2x2 + -3x2 = -1x2 14 + 5x + -1x2 = -14 + -1x + 3x2 + 14 + x + -3x2 Reorder the terms: 14 + 5x + -1x2 = -14 + 14 + -1x + x + 3x2 + -3x2 Combine like terms: -14 + 14 = 0 14 + 5x + -1x2 = 0 + -1x + x + 3x2 + -3x2 14 + 5x + -1x2 = -1x + x + 3x2 + -3x2 Combine like terms: -1x + x = 0 14 + 5x + -1x2 = 0 + 3x2 + -3x2 14 + 5x + -1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 14 + 5x + -1x2 = 0 Factor a trinomial. (7 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. 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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