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Simplifying (6x + -11)(x + -5) = 0 Reorder the terms: (-11 + 6x)(x + -5) = 0 Reorder the terms: (-11 + 6x)(-5 + x) = 0 Multiply (-11 + 6x) * (-5 + x) (-11(-5 + x) + 6x * (-5 + x)) = 0 ((-5 * -11 + x * -11) + 6x * (-5 + x)) = 0 ((55 + -11x) + 6x * (-5 + x)) = 0 (55 + -11x + (-5 * 6x + x * 6x)) = 0 (55 + -11x + (-30x + 6x2)) = 0 Combine like terms: -11x + -30x = -41x (55 + -41x + 6x2) = 0 Solving 55 + -41x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -6x)(5 + -1x) = 0Subproblem 1
Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 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 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.833333333, 5}
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