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Simplifying 3x(2x + 10) = -24 Reorder the terms: 3x(10 + 2x) = -24 (10 * 3x + 2x * 3x) = -24 (30x + 6x2) = -24 Solving 30x + 6x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + 30x + 6x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 30x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(4 + 5x + x2) = 0 Factor a trinomial. 6((4 + x)(1 + x)) = 0 Ignore the factor 6.Subproblem 1
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 = -4Subproblem 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 = {-4, -1}
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