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Simplifying 24x2 + -46x = 18 Reorder the terms: -46x + 24x2 = 18 Solving -46x + 24x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + -46x + 24x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -46x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -23x + 12x2) = 0 Factor a trinomial. 2((-1 + -3x)(9 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-0.3333333333, 2.25}
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