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Simplifying 24x + -3x2 = 36 Solving 24x + -3x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + 24x + -3x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 24x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + 8x + -1x2) = 0 Factor a trinomial. 3((-6 + x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {6, 2}
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