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Simplifying 14x2 = 82x Solving 14x2 = 82x Solving for variable 'x'. Reorder the terms: -82x + 14x2 = 82x + -82x Combine like terms: 82x + -82x = 0 -82x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-41 + 7x) = 0 Ignore the factor 2.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 '(-41 + 7x)' equal to zero and attempt to solve: Simplifying -41 + 7x = 0 Solving -41 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 7x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 7x = 0 + 41 7x = 0 + 41 Combine like terms: 0 + 41 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857Solution
x = {0, 5.857142857}
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