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Simplifying (12x2) + -20x + 0 = 0 Reorder the terms: 0 + -20x + (12x2) = 0 Remove the zero: -20x + (12x2) = 0 Solving -20x + (12x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-5 + (3x)) = 0 Ignore the factor 4.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 '(-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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