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Simplifying (13x + 4)(3 + -5x) = 0 Reorder the terms: (4 + 13x)(3 + -5x) = 0 Multiply (4 + 13x) * (3 + -5x) (4(3 + -5x) + 13x * (3 + -5x)) = 0 ((3 * 4 + -5x * 4) + 13x * (3 + -5x)) = 0 ((12 + -20x) + 13x * (3 + -5x)) = 0 (12 + -20x + (3 * 13x + -5x * 13x)) = 0 (12 + -20x + (39x + -65x2)) = 0 Combine like terms: -20x + 39x = 19x (12 + 19x + -65x2) = 0 Solving 12 + 19x + -65x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(4 + 13x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(4 + 13x)' equal to zero and attempt to solve: Simplifying 4 + 13x = 0 Solving 4 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077Solution
x = {0.6, -0.3076923077}
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