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Simplifying 5x3 = 245x2 Solving 5x3 = 245x2 Solving for variable 'x'. Reorder the terms: -245x2 + 5x3 = 245x2 + -245x2 Combine like terms: 245x2 + -245x2 = 0 -245x2 + 5x3 = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-49 + x) = 0 Ignore the factor 5.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 '(-49 + x)' equal to zero and attempt to solve: Simplifying -49 + x = 0 Solving -49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + x = 0 + 49 x = 0 + 49 Combine like terms: 0 + 49 = 49 x = 49 Simplifying x = 49Solution
x = {0, 49}
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