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Simplifying (-4x + -3)(x + 6) = 0 Reorder the terms: (-3 + -4x)(x + 6) = 0 Reorder the terms: (-3 + -4x)(6 + x) = 0 Multiply (-3 + -4x) * (6 + x) (-3(6 + x) + -4x * (6 + x)) = 0 ((6 * -3 + x * -3) + -4x * (6 + x)) = 0 ((-18 + -3x) + -4x * (6 + x)) = 0 (-18 + -3x + (6 * -4x + x * -4x)) = 0 (-18 + -3x + (-24x + -4x2)) = 0 Combine like terms: -3x + -24x = -27x (-18 + -27x + -4x2) = 0 Solving -18 + -27x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 27x + 4x2) = 0 Factor a trinomial. -1((6 + x)(3 + 4x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-6, -0.75}
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