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Simplifying (5x + 9) + -1(3x2 + -6x + 9) = 0 Reorder the terms: (9 + 5x) + -1(3x2 + -6x + 9) = 0 Remove parenthesis around (9 + 5x) 9 + 5x + -1(3x2 + -6x + 9) = 0 Reorder the terms: 9 + 5x + -1(9 + -6x + 3x2) = 0 9 + 5x + (9 * -1 + -6x * -1 + 3x2 * -1) = 0 9 + 5x + (-9 + 6x + -3x2) = 0 Reorder the terms: 9 + -9 + 5x + 6x + -3x2 = 0 Combine like terms: 9 + -9 = 0 0 + 5x + 6x + -3x2 = 0 5x + 6x + -3x2 = 0 Combine like terms: 5x + 6x = 11x 11x + -3x2 = 0 Solving 11x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -3x) = 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 '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {0, 3.666666667}
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