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Simplifying (x + 4)(-11x + 36) = 0 Reorder the terms: (4 + x)(-11x + 36) = 0 Reorder the terms: (4 + x)(36 + -11x) = 0 Multiply (4 + x) * (36 + -11x) (4(36 + -11x) + x(36 + -11x)) = 0 ((36 * 4 + -11x * 4) + x(36 + -11x)) = 0 ((144 + -44x) + x(36 + -11x)) = 0 (144 + -44x + (36 * x + -11x * x)) = 0 (144 + -44x + (36x + -11x2)) = 0 Combine like terms: -44x + 36x = -8x (144 + -8x + -11x2) = 0 Solving 144 + -8x + -11x2 = 0 Solving for variable 'x'. Factor a trinomial. (36 + -11x)(4 + x) = 0Subproblem 1
Set the factor '(36 + -11x)' equal to zero and attempt to solve: Simplifying 36 + -11x = 0 Solving 36 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -11x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = 0 + -36 -11x = 0 + -36 Combine like terms: 0 + -36 = -36 -11x = -36 Divide each side by '-11'. x = 3.272727273 Simplifying x = 3.272727273Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {3.272727273, -4}
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