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Simplifying 14x2 + 36x = 0 Reorder the terms: 36x + 14x2 = 0 Solving 36x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(18 + 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 '(18 + 7x)' equal to zero and attempt to solve: Simplifying 18 + 7x = 0 Solving 18 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 0 + -18 7x = 0 + -18 Combine like terms: 0 + -18 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571Solution
x = {0, -2.571428571}
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