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Simplifying 44x2 + -192x3 + 64x2 = 0 Reorder the terms: 44x2 + 64x2 + -192x3 = 0 Combine like terms: 44x2 + 64x2 = 108x2 108x2 + -192x3 = 0 Solving 108x2 + -192x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x2'. 12x2(9 + -16x) = 0 Ignore the factor 12.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 '(9 + -16x)' equal to zero and attempt to solve: Simplifying 9 + -16x = 0 Solving 9 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 0 + -9 -16x = 0 + -9 Combine like terms: 0 + -9 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625Solution
x = {0, 0.5625}
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