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Simplifying (11x + -175)(3x + 3) = 0 Reorder the terms: (-175 + 11x)(3x + 3) = 0 Reorder the terms: (-175 + 11x)(3 + 3x) = 0 Multiply (-175 + 11x) * (3 + 3x) (-175(3 + 3x) + 11x * (3 + 3x)) = 0 ((3 * -175 + 3x * -175) + 11x * (3 + 3x)) = 0 ((-525 + -525x) + 11x * (3 + 3x)) = 0 (-525 + -525x + (3 * 11x + 3x * 11x)) = 0 (-525 + -525x + (33x + 33x2)) = 0 Combine like terms: -525x + 33x = -492x (-525 + -492x + 33x2) = 0 Solving -525 + -492x + 33x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-175 + -164x + 11x2) = 0 Factor a trinomial. 3((-1 + -1x)(175 + -11x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(175 + -11x)' equal to zero and attempt to solve: Simplifying 175 + -11x = 0 Solving 175 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + -175 + -11x = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -11x = 0 + -175 -11x = 0 + -175 Combine like terms: 0 + -175 = -175 -11x = -175 Divide each side by '-11'. x = 15.90909091 Simplifying x = 15.90909091Solution
x = {-1, 15.90909091}
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