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Simplifying 0 = 7x2 + 20x Reorder the terms: 0 = 20x + 7x2 Solving 0 = 20x + 7x2 Solving for variable 'x'. Remove the zero: -20x + -7x2 = 20x + 7x2 + -20x + -7x2 Reorder the terms: -20x + -7x2 = 20x + -20x + 7x2 + -7x2 Combine like terms: 20x + -20x = 0 -20x + -7x2 = 0 + 7x2 + -7x2 -20x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -20x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(20 + 7x) = 0 Ignore the factor -1.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 '(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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