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Simplifying (27 + -13x)(5 + -1x) = 0 Multiply (27 + -13x) * (5 + -1x) (27(5 + -1x) + -13x * (5 + -1x)) = 0 ((5 * 27 + -1x * 27) + -13x * (5 + -1x)) = 0 ((135 + -27x) + -13x * (5 + -1x)) = 0 (135 + -27x + (5 * -13x + -1x * -13x)) = 0 (135 + -27x + (-65x + 13x2)) = 0 Combine like terms: -27x + -65x = -92x (135 + -92x + 13x2) = 0 Solving 135 + -92x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (27 + -13x)(5 + -1x) = 0Subproblem 1
Set the factor '(27 + -13x)' equal to zero and attempt to solve: Simplifying 27 + -13x = 0 Solving 27 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -13x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = 0 + -27 -13x = 0 + -27 Combine like terms: 0 + -27 = -27 -13x = -27 Divide each side by '-13'. x = 2.076923077 Simplifying x = 2.076923077Subproblem 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 = {2.076923077, 5}
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