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Simplifying 6x2 + 48x = 768 Reorder the terms: 48x + 6x2 = 768 Solving 48x + 6x2 = 768 Solving for variable 'x'. Reorder the terms: -768 + 48x + 6x2 = 768 + -768 Combine like terms: 768 + -768 = 0 -768 + 48x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-128 + 8x + x2) = 0 Factor a trinomial. 6((-16 + -1x)(8 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-16, 8}
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