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Simplifying 7x2 = 20x Solving 7x2 = 20x Solving for variable 'x'. Reorder the terms: -20x + 7x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -20x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + 7x) = 0Subproblem 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 '(-20 + 7x)' equal to zero and attempt to solve: Simplifying -20 + 7x = 0 Solving -20 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 7x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 0 + 20 7x = 0 + 20 Combine like terms: 0 + 20 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857Solution
x = {0, 2.857142857}
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