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Simplifying 6x2 + 40 = -32x Reorder the terms: 40 + 6x2 = -32x Solving 40 + 6x2 = -32x Solving for variable 'x'. Reorder the terms: 40 + 32x + 6x2 = -32x + 32x Combine like terms: -32x + 32x = 0 40 + 32x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + 16x + 3x2) = 0 Factor a trinomial. 2((10 + 3x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 2
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 = -2Solution
x = {-3.333333333, -2}
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