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Simplifying x(x + 6) = ((9 + 4) + -3) * x Reorder the terms: x(6 + x) = ((9 + 4) + -3) * x (6 * x + x * x) = ((9 + 4) + -3) * x (6x + x2) = ((9 + 4) + -3) * x Combine like terms: 9 + 4 = 13 6x + x2 = ((13) + -3) * x 6x + x2 = (13 + -3) * x Combine like terms: 13 + -3 = 10 6x + x2 = (10) * x Solving 6x + x2 = 10x Solving for variable 'x'. Reorder the terms: 6x + -10x + x2 = 10x + -10x Combine like terms: 6x + -10x = -4x -4x + x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -4x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {0, 4}
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