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Simplifying 24x + -3x2 = 48 Solving 24x + -3x2 = 48 Solving for variable 'x'. Reorder the terms: -48 + 24x + -3x2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + 24x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + 8x + -1x2) = 0 Factor a trinomial. 3((-4 + x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {4, 4}
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