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Simplifying 3x2 + 33x = 2x + -36 Reorder the terms: 33x + 3x2 = 2x + -36 Reorder the terms: 33x + 3x2 = -36 + 2x Solving 33x + 3x2 = -36 + 2x Solving for variable 'x'. Reorder the terms: 36 + 33x + -2x + 3x2 = -36 + 2x + 36 + -2x Combine like terms: 33x + -2x = 31x 36 + 31x + 3x2 = -36 + 2x + 36 + -2x Reorder the terms: 36 + 31x + 3x2 = -36 + 36 + 2x + -2x Combine like terms: -36 + 36 = 0 36 + 31x + 3x2 = 0 + 2x + -2x 36 + 31x + 3x2 = 2x + -2x Combine like terms: 2x + -2x = 0 36 + 31x + 3x2 = 0 Factor a trinomial. (9 + x)(4 + 3x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {-9, -1.333333333}
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