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Simplifying 0 = 4x2 + 33x + -27 Reorder the terms: 0 = -27 + 33x + 4x2 Solving 0 = -27 + 33x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 27 = 27 27 + -33x + -4x2 = -27 + 33x + 4x2 + 27 + -33x + -4x2 Reorder the terms: 27 + -33x + -4x2 = -27 + 27 + 33x + -33x + 4x2 + -4x2 Combine like terms: -27 + 27 = 0 27 + -33x + -4x2 = 0 + 33x + -33x + 4x2 + -4x2 27 + -33x + -4x2 = 33x + -33x + 4x2 + -4x2 Combine like terms: 33x + -33x = 0 27 + -33x + -4x2 = 0 + 4x2 + -4x2 27 + -33x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 27 + -33x + -4x2 = 0 Factor a trinomial. (3 + -4x)(9 + x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
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 = -9Solution
x = {0.75, -9}
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