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Simplifying 24 = 3x2 + x Reorder the terms: 24 = x + 3x2 Solving 24 = x + 3x2 Solving for variable 'x'. Reorder the terms: 24 + -1x + -3x2 = x + -1x + 3x2 + -3x2 Combine like terms: x + -1x = 0 24 + -1x + -3x2 = 0 + 3x2 + -3x2 24 + -1x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 24 + -1x + -3x2 = 0 Factor a trinomial. (8 + -3x)(3 + x) = 0Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {2.666666667, -3}
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