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Simplifying 2x3 = 100x2 Solving 2x3 = 100x2 Solving for variable 'x'. Reorder the terms: -100x2 + 2x3 = 100x2 + -100x2 Combine like terms: 100x2 + -100x2 = 0 -100x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-50 + x) = 0 Ignore the factor 2.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 '(-50 + x)' equal to zero and attempt to solve: Simplifying -50 + x = 0 Solving -50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + x = 0 + 50 x = 0 + 50 Combine like terms: 0 + 50 = 50 x = 50 Simplifying x = 50Solution
x = {0, 50}
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