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Simplifying 14x2 = -26x Solving 14x2 = -26x Solving for variable 'x'. Reorder the terms: 26x + 14x2 = -26x + 26x Combine like terms: -26x + 26x = 0 26x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(13 + 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 '(13 + 7x)' equal to zero and attempt to solve: Simplifying 13 + 7x = 0 Solving 13 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 0 + -13 7x = 0 + -13 Combine like terms: 0 + -13 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857Solution
x = {0, -1.857142857}
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