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Simplifying 36x2 = -48x + 33 Reorder the terms: 36x2 = 33 + -48x Solving 36x2 = 33 + -48x Solving for variable 'x'. Reorder the terms: -33 + 48x + 36x2 = 33 + -48x + -33 + 48x Reorder the terms: -33 + 48x + 36x2 = 33 + -33 + -48x + 48x Combine like terms: 33 + -33 = 0 -33 + 48x + 36x2 = 0 + -48x + 48x -33 + 48x + 36x2 = -48x + 48x Combine like terms: -48x + 48x = 0 -33 + 48x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-11 + 16x + 12x2) = 0 Factor a trinomial. 3((-11 + -6x)(1 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -6x)' equal to zero and attempt to solve: Simplifying -11 + -6x = 0 Solving -11 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 0 + 11 -6x = 0 + 11 Combine like terms: 0 + 11 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-1.833333333, 0.5}
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