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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((-175 + -11x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -15.90909091Subproblem 2
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 = 1Solution
x = {-15.90909091, 1}
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