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Simplifying 0 = 9x2 + -14x Reorder the terms: 0 = -14x + 9x2 Solving 0 = -14x + 9x2 Solving for variable 'x'. Remove the zero: 14x + -9x2 = -14x + 9x2 + 14x + -9x2 Reorder the terms: 14x + -9x2 = -14x + 14x + 9x2 + -9x2 Combine like terms: -14x + 14x = 0 14x + -9x2 = 0 + 9x2 + -9x2 14x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 14x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(14 + -9x) = 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 '(14 + -9x)' equal to zero and attempt to solve: Simplifying 14 + -9x = 0 Solving 14 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -9x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 0 + -14 -9x = 0 + -14 Combine like terms: 0 + -14 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556Solution
x = {0, 1.555555556}
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