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