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Simplifying 9x2 + 27x + 6x = x2 + 3x Reorder the terms: 27x + 6x + 9x2 = x2 + 3x Combine like terms: 27x + 6x = 33x 33x + 9x2 = x2 + 3x Reorder the terms: 33x + 9x2 = 3x + x2 Solving 33x + 9x2 = 3x + x2 Solving for variable 'x'. Reorder the terms: 33x + -3x + 9x2 + -1x2 = 3x + x2 + -3x + -1x2 Combine like terms: 33x + -3x = 30x 30x + 9x2 + -1x2 = 3x + x2 + -3x + -1x2 Combine like terms: 9x2 + -1x2 = 8x2 30x + 8x2 = 3x + x2 + -3x + -1x2 Reorder the terms: 30x + 8x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 30x + 8x2 = 0 + x2 + -1x2 30x + 8x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(15 + 4x) = 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 '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Solution
x = {0, -3.75}
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