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Simplifying 5x2 = 210x Solving 5x2 = 210x Solving for variable 'x'. Reorder the terms: -210x + 5x2 = 210x + -210x Combine like terms: 210x + -210x = 0 -210x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-42 + 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 '(-42 + x)' equal to zero and attempt to solve: Simplifying -42 + x = 0 Solving -42 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + x = 0 + 42 x = 0 + 42 Combine like terms: 0 + 42 = 42 x = 42 Simplifying x = 42Solution
x = {0, 42}
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