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Simplifying 9x2 + 69x = 0 Reorder the terms: 69x + 9x2 = 0 Solving 69x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(23 + 3x) = 0 Ignore the factor 3.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 '(23 + 3x)' equal to zero and attempt to solve: Simplifying 23 + 3x = 0 Solving 23 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 0 + -23 3x = 0 + -23 Combine like terms: 0 + -23 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667Solution
x = {0, -7.666666667}
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