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Simplifying (-3x + 3)(x + 8) = 0 Reorder the terms: (3 + -3x)(x + 8) = 0 Reorder the terms: (3 + -3x)(8 + x) = 0 Multiply (3 + -3x) * (8 + x) (3(8 + x) + -3x * (8 + x)) = 0 ((8 * 3 + x * 3) + -3x * (8 + x)) = 0 ((24 + 3x) + -3x * (8 + x)) = 0 (24 + 3x + (8 * -3x + x * -3x)) = 0 (24 + 3x + (-24x + -3x2)) = 0 Combine like terms: 3x + -24x = -21x (24 + -21x + -3x2) = 0 Solving 24 + -21x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -7x + -1x2) = 0 Factor a trinomial. 3((1 + -1x)(8 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {1, -8}
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