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Simplifying (11x + -6)(2x + 35) = 0 Reorder the terms: (-6 + 11x)(2x + 35) = 0 Reorder the terms: (-6 + 11x)(35 + 2x) = 0 Multiply (-6 + 11x) * (35 + 2x) (-6(35 + 2x) + 11x * (35 + 2x)) = 0 ((35 * -6 + 2x * -6) + 11x * (35 + 2x)) = 0 ((-210 + -12x) + 11x * (35 + 2x)) = 0 (-210 + -12x + (35 * 11x + 2x * 11x)) = 0 (-210 + -12x + (385x + 22x2)) = 0 Combine like terms: -12x + 385x = 373x (-210 + 373x + 22x2) = 0 Solving -210 + 373x + 22x2 = 0 Solving for variable 'x'. Factor a trinomial. (-35 + -2x)(6 + -11x) = 0Subproblem 1
Set the factor '(-35 + -2x)' equal to zero and attempt to solve: Simplifying -35 + -2x = 0 Solving -35 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -2x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 0 + 35 -2x = 0 + 35 Combine like terms: 0 + 35 = 35 -2x = 35 Divide each side by '-2'. x = -17.5 Simplifying x = -17.5Subproblem 2
Set the factor '(6 + -11x)' equal to zero and attempt to solve: Simplifying 6 + -11x = 0 Solving 6 + -11x = 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 + -11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 0 + -6 -11x = 0 + -6 Combine like terms: 0 + -6 = -6 -11x = -6 Divide each side by '-11'. x = 0.5454545455 Simplifying x = 0.5454545455Solution
x = {-17.5, 0.5454545455}
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