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Simplifying 5X3 = 500X Solving 5X3 = 500X Solving for variable 'X'. Reorder the terms: -500X + 5X3 = 500X + -500X Combine like terms: 500X + -500X = 0 -500X + 5X3 = 0 Factor out the Greatest Common Factor (GCF), '5X'. 5X(-100 + X2) = 0 Factor a difference between two squares. 5X((10 + X)(-10 + X)) = 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 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 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 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Simplifying X = -10Subproblem 3
Set the factor '(-10 + X)' equal to zero and attempt to solve: Simplifying -10 + X = 0 Solving -10 + X = 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 + X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + X = 0 + 10 X = 0 + 10 Combine like terms: 0 + 10 = 10 X = 10 Simplifying X = 10Solution
X = {0, -10, 10}
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