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Simplifying 0 = -6x + 9x2 + 5x Reorder the terms: 0 = -6x + 5x + 9x2 Combine like terms: -6x + 5x = -1x 0 = -1x + 9x2 Solving 0 = -1x + 9x2 Solving for variable 'x'. Remove the zero: x + -9x2 = -1x + 9x2 + x + -9x2 Reorder the terms: x + -9x2 = -1x + x + 9x2 + -9x2 Combine like terms: -1x + x = 0 x + -9x2 = 0 + 9x2 + -9x2 x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -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 '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Solution
x = {0, 0.1111111111}
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