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Simplifying (6x + -5)(x + -11) = 0 Reorder the terms: (-5 + 6x)(x + -11) = 0 Reorder the terms: (-5 + 6x)(-11 + x) = 0 Multiply (-5 + 6x) * (-11 + x) (-5(-11 + x) + 6x * (-11 + x)) = 0 ((-11 * -5 + x * -5) + 6x * (-11 + x)) = 0 ((55 + -5x) + 6x * (-11 + x)) = 0 (55 + -5x + (-11 * 6x + x * 6x)) = 0 (55 + -5x + (-66x + 6x2)) = 0 Combine like terms: -5x + -66x = -71x (55 + -71x + 6x2) = 0 Solving 55 + -71x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -6x)(11 + -1x) = 0Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 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 = {0.8333333333, 11}
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