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Simplifying 40X3 + 50X2 = 0 Reorder the terms: 50X2 + 40X3 = 0 Solving 50X2 + 40X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '10X2'. 10X2(5 + 4X) = 0 Ignore the factor 10.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 + 4X)' equal to zero and attempt to solve: Simplifying 5 + 4X = 0 Solving 5 + 4X = 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 + 4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4X = 0 + -5 4X = 0 + -5 Combine like terms: 0 + -5 = -5 4X = -5 Divide each side by '4'. X = -1.25 Simplifying X = -1.25Solution
X = {0, -1.25}
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