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Simplifying 400x3 + -960x2 = 0 Reorder the terms: -960x2 + 400x3 = 0 Solving -960x2 + 400x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '80x2'. 80x2(-12 + 5x) = 0 Ignore the factor 80.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 '(-12 + 5x)' equal to zero and attempt to solve: Simplifying -12 + 5x = 0 Solving -12 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 0 + 12 5x = 0 + 12 Combine like terms: 0 + 12 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4Solution
x = {0, 2.4}
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