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Simplifying 100x2 = 15x Solving 100x2 = 15x Solving for variable 'x'. Reorder the terms: -15x + 100x2 = 15x + -15x Combine like terms: 15x + -15x = 0 -15x + 100x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-3 + 20x) = 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 '(-3 + 20x)' equal to zero and attempt to solve: Simplifying -3 + 20x = 0 Solving -3 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 20x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 20x = 0 + 3 20x = 0 + 3 Combine like terms: 0 + 3 = 3 20x = 3 Divide each side by '20'. x = 0.15 Simplifying x = 0.15Solution
x = {0, 0.15}
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