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Simplifying 4x + 10 = x2 + -2x + -6 Reorder the terms: 10 + 4x = x2 + -2x + -6 Reorder the terms: 10 + 4x = -6 + -2x + x2 Solving 10 + 4x = -6 + -2x + x2 Solving for variable 'x'. Reorder the terms: 10 + 6 + 4x + 2x + -1x2 = -6 + -2x + x2 + 6 + 2x + -1x2 Combine like terms: 10 + 6 = 16 16 + 4x + 2x + -1x2 = -6 + -2x + x2 + 6 + 2x + -1x2 Combine like terms: 4x + 2x = 6x 16 + 6x + -1x2 = -6 + -2x + x2 + 6 + 2x + -1x2 Reorder the terms: 16 + 6x + -1x2 = -6 + 6 + -2x + 2x + x2 + -1x2 Combine like terms: -6 + 6 = 0 16 + 6x + -1x2 = 0 + -2x + 2x + x2 + -1x2 16 + 6x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 16 + 6x + -1x2 = 0 + x2 + -1x2 16 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 6x + -1x2 = 0 Factor a trinomial. (8 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, -2}
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