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Simplifying 3x2 + -9(x2 + 3x) = 0 Reorder the terms: 3x2 + -9(3x + x2) = 0 3x2 + (3x * -9 + x2 * -9) = 0 3x2 + (-27x + -9x2) = 0 Reorder the terms: -27x + 3x2 + -9x2 = 0 Combine like terms: 3x2 + -9x2 = -6x2 -27x + -6x2 = 0 Solving -27x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x'. -3x(9 + 2x) = 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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0, -4.5}
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