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Simplifying (4 + -5x)(2x + 7) = 0 Reorder the terms: (4 + -5x)(7 + 2x) = 0 Multiply (4 + -5x) * (7 + 2x) (4(7 + 2x) + -5x * (7 + 2x)) = 0 ((7 * 4 + 2x * 4) + -5x * (7 + 2x)) = 0 ((28 + 8x) + -5x * (7 + 2x)) = 0 (28 + 8x + (7 * -5x + 2x * -5x)) = 0 (28 + 8x + (-35x + -10x2)) = 0 Combine like terms: 8x + -35x = -27x (28 + -27x + -10x2) = 0 Solving 28 + -27x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(7 + 2x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0.8, -3.5}
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