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Simplifying (6 + -1x)(2x + 5) = 0 Reorder the terms: (6 + -1x)(5 + 2x) = 0 Multiply (6 + -1x) * (5 + 2x) (6(5 + 2x) + -1x * (5 + 2x)) = 0 ((5 * 6 + 2x * 6) + -1x * (5 + 2x)) = 0 ((30 + 12x) + -1x * (5 + 2x)) = 0 (30 + 12x + (5 * -1x + 2x * -1x)) = 0 (30 + 12x + (-5x + -2x2)) = 0 Combine like terms: 12x + -5x = 7x (30 + 7x + -2x2) = 0 Solving 30 + 7x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(5 + 2x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {6, -2.5}
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