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Simplifying 48x2 + -27x3 = 0 Solving 48x2 + -27x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(16 + -9x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(16 + -9x)' equal to zero and attempt to solve: Simplifying 16 + -9x = 0 Solving 16 + -9x = 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 + -9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 0 + -16 -9x = 0 + -16 Combine like terms: 0 + -16 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778Solution
x = {0, 1.777777778}
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