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Simplifying 159 = 2x2 + 3x + 7 Reorder the terms: 159 = 7 + 3x + 2x2 Solving 159 = 7 + 3x + 2x2 Solving for variable 'x'. Combine like terms: 159 + -7 = 152 152 + -3x + -2x2 = 7 + 3x + 2x2 + -7 + -3x + -2x2 Reorder the terms: 152 + -3x + -2x2 = 7 + -7 + 3x + -3x + 2x2 + -2x2 Combine like terms: 7 + -7 = 0 152 + -3x + -2x2 = 0 + 3x + -3x + 2x2 + -2x2 152 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2 Combine like terms: 3x + -3x = 0 152 + -3x + -2x2 = 0 + 2x2 + -2x2 152 + -3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 152 + -3x + -2x2 = 0 Factor a trinomial. (8 + -1x)(19 + 2x) = 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 '(19 + 2x)' equal to zero and attempt to solve: Simplifying 19 + 2x = 0 Solving 19 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5Solution
x = {8, -9.5}
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