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Simplifying 3x(x + -9) = 9x2 + -28x Reorder the terms: 3x(-9 + x) = 9x2 + -28x (-9 * 3x + x * 3x) = 9x2 + -28x (-27x + 3x2) = 9x2 + -28x Reorder the terms: -27x + 3x2 = -28x + 9x2 Solving -27x + 3x2 = -28x + 9x2 Solving for variable 'x'. Reorder the terms: -27x + 28x + 3x2 + -9x2 = -28x + 9x2 + 28x + -9x2 Combine like terms: -27x + 28x = 1x 1x + 3x2 + -9x2 = -28x + 9x2 + 28x + -9x2 Combine like terms: 3x2 + -9x2 = -6x2 1x + -6x2 = -28x + 9x2 + 28x + -9x2 Reorder the terms: 1x + -6x2 = -28x + 28x + 9x2 + -9x2 Combine like terms: -28x + 28x = 0 1x + -6x2 = 0 + 9x2 + -9x2 1x + -6x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 1x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -6x) = 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 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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