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Simplifying 45x3 + -500x = 0 Reorder the terms: -500x + 45x3 = 0 Solving -500x + 45x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-100 + 9x2) = 0 Factor a difference between two squares. 5x((10 + 3x)(-10 + 3x)) = 0 Ignore the factor 5.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 '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 3
Set the factor '(-10 + 3x)' equal to zero and attempt to solve: Simplifying -10 + 3x = 0 Solving -10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {0, -3.333333333, 3.333333333}
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