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Simplifying 2x2 + 10 = x2 + 9x + -8 Reorder the terms: 10 + 2x2 = x2 + 9x + -8 Reorder the terms: 10 + 2x2 = -8 + 9x + x2 Solving 10 + 2x2 = -8 + 9x + x2 Solving for variable 'x'. Reorder the terms: 10 + 8 + -9x + 2x2 + -1x2 = -8 + 9x + x2 + 8 + -9x + -1x2 Combine like terms: 10 + 8 = 18 18 + -9x + 2x2 + -1x2 = -8 + 9x + x2 + 8 + -9x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 18 + -9x + 1x2 = -8 + 9x + x2 + 8 + -9x + -1x2 Reorder the terms: 18 + -9x + 1x2 = -8 + 8 + 9x + -9x + x2 + -1x2 Combine like terms: -8 + 8 = 0 18 + -9x + 1x2 = 0 + 9x + -9x + x2 + -1x2 18 + -9x + 1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 18 + -9x + 1x2 = 0 + x2 + -1x2 18 + -9x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x + 1x2 = 0 Factor a trinomial. (3 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {3, 6}
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