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Simplifying (5x + 6)(x + -11) = 0 Reorder the terms: (6 + 5x)(x + -11) = 0 Reorder the terms: (6 + 5x)(-11 + x) = 0 Multiply (6 + 5x) * (-11 + x) (6(-11 + x) + 5x * (-11 + x)) = 0 ((-11 * 6 + x * 6) + 5x * (-11 + x)) = 0 ((-66 + 6x) + 5x * (-11 + x)) = 0 (-66 + 6x + (-11 * 5x + x * 5x)) = 0 (-66 + 6x + (-55x + 5x2)) = 0 Combine like terms: 6x + -55x = -49x (-66 + -49x + 5x2) = 0 Solving -66 + -49x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(11 + -1x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-1.2, 11}
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