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Simplifying (9x + -3)(x + 3) = 0 Reorder the terms: (-3 + 9x)(x + 3) = 0 Reorder the terms: (-3 + 9x)(3 + x) = 0 Multiply (-3 + 9x) * (3 + x) (-3(3 + x) + 9x * (3 + x)) = 0 ((3 * -3 + x * -3) + 9x * (3 + x)) = 0 ((-9 + -3x) + 9x * (3 + x)) = 0 (-9 + -3x + (3 * 9x + x * 9x)) = 0 (-9 + -3x + (27x + 9x2)) = 0 Combine like terms: -3x + 27x = 24x (-9 + 24x + 9x2) = 0 Solving -9 + 24x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 8x + 3x2) = 0 Factor a trinomial. 3((-3 + -1x)(1 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. 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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