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Simplifying (x + 3)(x + -3) + -3(5x + -3) = 0 Reorder the terms: (3 + x)(x + -3) + -3(5x + -3) = 0 Reorder the terms: (3 + x)(-3 + x) + -3(5x + -3) = 0 Multiply (3 + x) * (-3 + x) (3(-3 + x) + x(-3 + x)) + -3(5x + -3) = 0 ((-3 * 3 + x * 3) + x(-3 + x)) + -3(5x + -3) = 0 ((-9 + 3x) + x(-3 + x)) + -3(5x + -3) = 0 (-9 + 3x + (-3 * x + x * x)) + -3(5x + -3) = 0 (-9 + 3x + (-3x + x2)) + -3(5x + -3) = 0 Combine like terms: 3x + -3x = 0 (-9 + 0 + x2) + -3(5x + -3) = 0 (-9 + x2) + -3(5x + -3) = 0 Reorder the terms: -9 + x2 + -3(-3 + 5x) = 0 -9 + x2 + (-3 * -3 + 5x * -3) = 0 -9 + x2 + (9 + -15x) = 0 Reorder the terms: -9 + 9 + -15x + x2 = 0 Combine like terms: -9 + 9 = 0 0 + -15x + x2 = 0 -15x + x2 = 0 Solving -15x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + 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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 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 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Solution
x = {0, 15}
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