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Simplifying (3x + -21)(x + 4) = 0 Reorder the terms: (-21 + 3x)(x + 4) = 0 Reorder the terms: (-21 + 3x)(4 + x) = 0 Multiply (-21 + 3x) * (4 + x) (-21(4 + x) + 3x * (4 + x)) = 0 ((4 * -21 + x * -21) + 3x * (4 + x)) = 0 ((-84 + -21x) + 3x * (4 + x)) = 0 (-84 + -21x + (4 * 3x + x * 3x)) = 0 (-84 + -21x + (12x + 3x2)) = 0 Combine like terms: -21x + 12x = -9x (-84 + -9x + 3x2) = 0 Solving -84 + -9x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-28 + -3x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-4, 7}
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