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Simplifying 7x2 + 26x = 0 Reorder the terms: 26x + 7x2 = 0 Solving 26x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(26 + 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 '(26 + 7x)' equal to zero and attempt to solve: Simplifying 26 + 7x = 0 Solving 26 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7x = 0 + -26 7x = 0 + -26 Combine like terms: 0 + -26 = -26 7x = -26 Divide each side by '7'. x = -3.714285714 Simplifying x = -3.714285714Solution
x = {0, -3.714285714}
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