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Simplifying 29 = 2x2 + x + 8 Reorder the terms: 29 = 8 + x + 2x2 Solving 29 = 8 + x + 2x2 Solving for variable 'x'. Combine like terms: 29 + -8 = 21 21 + -1x + -2x2 = 8 + x + 2x2 + -8 + -1x + -2x2 Reorder the terms: 21 + -1x + -2x2 = 8 + -8 + x + -1x + 2x2 + -2x2 Combine like terms: 8 + -8 = 0 21 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2 21 + -1x + -2x2 = x + -1x + 2x2 + -2x2 Combine like terms: x + -1x = 0 21 + -1x + -2x2 = 0 + 2x2 + -2x2 21 + -1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 21 + -1x + -2x2 = 0 Factor a trinomial. (3 + -1x)(7 + 2x) = 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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {3, -3.5}
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