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Simplifying 4x(3x + 10) = -12 Reorder the terms: 4x(10 + 3x) = -12 (10 * 4x + 3x * 4x) = -12 (40x + 12x2) = -12 Solving 40x + 12x2 = -12 Solving for variable 'x'. Reorder the terms: 12 + 40x + 12x2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 40x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + 10x + 3x2) = 0 Factor a trinomial. 4((3 + x)(1 + 3x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-3, -0.3333333333}
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