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Simplifying 0 = 48x + -18x2 Solving 0 = 48x + -18x2 Solving for variable 'x'. Remove the zero: -48x + 18x2 = 48x + -18x2 + -48x + 18x2 Reorder the terms: -48x + 18x2 = 48x + -48x + -18x2 + 18x2 Combine like terms: 48x + -48x = 0 -48x + 18x2 = 0 + -18x2 + 18x2 -48x + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 -48x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-8 + 3x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve: Simplifying -8 + 3x = 0 Solving -8 + 3x = 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 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {0, 2.666666667}
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