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Simplifying (5x + 2)(7 + -4x) = 0 Reorder the terms: (2 + 5x)(7 + -4x) = 0 Multiply (2 + 5x) * (7 + -4x) (2(7 + -4x) + 5x * (7 + -4x)) = 0 ((7 * 2 + -4x * 2) + 5x * (7 + -4x)) = 0 ((14 + -8x) + 5x * (7 + -4x)) = 0 (14 + -8x + (7 * 5x + -4x * 5x)) = 0 (14 + -8x + (35x + -20x2)) = 0 Combine like terms: -8x + 35x = 27x (14 + 27x + -20x2) = 0 Solving 14 + 27x + -20x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(2 + 5x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {1.75, -0.4}
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