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Simplifying (11x + 5)(15x + -7) = 0 Reorder the terms: (5 + 11x)(15x + -7) = 0 Reorder the terms: (5 + 11x)(-7 + 15x) = 0 Multiply (5 + 11x) * (-7 + 15x) (5(-7 + 15x) + 11x * (-7 + 15x)) = 0 ((-7 * 5 + 15x * 5) + 11x * (-7 + 15x)) = 0 ((-35 + 75x) + 11x * (-7 + 15x)) = 0 (-35 + 75x + (-7 * 11x + 15x * 11x)) = 0 (-35 + 75x + (-77x + 165x2)) = 0 Combine like terms: 75x + -77x = -2x (-35 + -2x + 165x2) = 0 Solving -35 + -2x + 165x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -11x)(7 + -15x) = 0Subproblem 1
Set the factor '(-5 + -11x)' equal to zero and attempt to solve: Simplifying -5 + -11x = 0 Solving -5 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 0 + 5 -11x = 0 + 5 Combine like terms: 0 + 5 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545Subproblem 2
Set the factor '(7 + -15x)' equal to zero and attempt to solve: Simplifying 7 + -15x = 0 Solving 7 + -15x = 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 + -15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = 0 + -7 -15x = 0 + -7 Combine like terms: 0 + -7 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667Solution
x = {-0.4545454545, 0.4666666667}
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