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