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Simplifying 10x2(12x + -8) = 0 Reorder the terms: 10x2(-8 + 12x) = 0 (-8 * 10x2 + 12x * 10x2) = 0 (-80x2 + 120x3) = 0 Solving -80x2 + 120x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '40x2'. 40x2(-2 + 3x) = 0 Ignore the factor 40.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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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