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Simplifying (X2 + 9x + -6)(-2x) = 0 Reorder the terms: (-6 + X2 + 9x)(-2x) = 0 Remove parenthesis around (-2x) (-6 + X2 + 9x) * -2x = 0 Reorder the terms for easier multiplication: -2x(-6 + X2 + 9x) = 0 (-6 * -2x + X2 * -2x + 9x * -2x) = 0 (12x + -2xX2 + -18x2) = 0 Solving 12x + -2xX2 + -18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + -1X2 + -9x) = 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 '(6 + -1X2 + -9x)' equal to zero and attempt to solve: Simplifying 6 + -1X2 + -9x = 0 Solving 6 + -1X2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1X2 + -6 + -9x = 0 + -6 Reorder the terms: 6 + -6 + -1X2 + -9x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X2 + -9x = 0 + -6 -1X2 + -9x = 0 + -6 Combine like terms: 0 + -6 = -6 -1X2 + -9x = -6 Add 'X2' to each side of the equation. -1X2 + X2 + -9x = -6 + X2 Combine like terms: -1X2 + X2 = 0 0 + -9x = -6 + X2 -9x = -6 + X2 Divide each side by '-9'. x = 0.6666666667 + -0.1111111111X2 Simplifying x = 0.6666666667 + -0.1111111111X2Solution
x = {0, 0.6666666667 + -0.1111111111X2}
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