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Simplifying (3x + 6)(-10x + -10) = 0 Reorder the terms: (6 + 3x)(-10x + -10) = 0 Reorder the terms: (6 + 3x)(-10 + -10x) = 0 Multiply (6 + 3x) * (-10 + -10x) (6(-10 + -10x) + 3x * (-10 + -10x)) = 0 ((-10 * 6 + -10x * 6) + 3x * (-10 + -10x)) = 0 ((-60 + -60x) + 3x * (-10 + -10x)) = 0 (-60 + -60x + (-10 * 3x + -10x * 3x)) = 0 (-60 + -60x + (-30x + -30x2)) = 0 Combine like terms: -60x + -30x = -90x (-60 + -90x + -30x2) = 0 Solving -60 + -90x + -30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-30'. -30(2 + 3x + x2) = 0 Factor a trinomial. -30((2 + x)(1 + x)) = 0 Ignore the factor -30.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-2, -1}
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