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Simplifying 0 = -12x3 + 20x2 Reorder the terms: 0 = 20x2 + -12x3 Solving 0 = 20x2 + -12x3 Solving for variable 'x'. Remove the zero: -20x2 + 12x3 = 20x2 + -12x3 + -20x2 + 12x3 Reorder the terms: -20x2 + 12x3 = 20x2 + -20x2 + -12x3 + 12x3 Combine like terms: 20x2 + -20x2 = 0 -20x2 + 12x3 = 0 + -12x3 + 12x3 -20x2 + 12x3 = -12x3 + 12x3 Combine like terms: -12x3 + 12x3 = 0 -20x2 + 12x3 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-5 + 3x) = 0 Ignore the factor 4.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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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