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Simplifying -3x2 + 4356 + -33x = 0 Reorder the terms: 4356 + -33x + -3x2 = 0 Solving 4356 + -33x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1452 + -11x + -1x2) = 0 Factor a trinomial. 3((33 + -1x)(44 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(33 + -1x)' equal to zero and attempt to solve: Simplifying 33 + -1x = 0 Solving 33 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = 0 + -33 -1x = 0 + -33 Combine like terms: 0 + -33 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33Subproblem 2
Set the factor '(44 + x)' equal to zero and attempt to solve: Simplifying 44 + x = 0 Solving 44 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + x = 0 + -44 x = 0 + -44 Combine like terms: 0 + -44 = -44 x = -44 Simplifying x = -44Solution
x = {33, -44}
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