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Simplifying 2x2 + -6x + -6 + -1(4x2 + 6x + 10) = 0 Reorder the terms: 2x2 + -6x + -6 + -1(10 + 6x + 4x2) = 0 2x2 + -6x + -6 + (10 * -1 + 6x * -1 + 4x2 * -1) = 0 2x2 + -6x + -6 + (-10 + -6x + -4x2) = 0 Reorder the terms: -6 + -10 + -6x + -6x + 2x2 + -4x2 = 0 Combine like terms: -6 + -10 = -16 -16 + -6x + -6x + 2x2 + -4x2 = 0 Combine like terms: -6x + -6x = -12x -16 + -12x + 2x2 + -4x2 = 0 Combine like terms: 2x2 + -4x2 = -2x2 -16 + -12x + -2x2 = 0 Solving -16 + -12x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(8 + 6x + x2) = 0 Factor a trinomial. -2((4 + x)(2 + x)) = 0 Ignore the factor -2.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 '(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 = {-4, -2}
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