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Simplifying (4x + 7)(7 + -5x) = 0 Reorder the terms: (7 + 4x)(7 + -5x) = 0 Multiply (7 + 4x) * (7 + -5x) (7(7 + -5x) + 4x * (7 + -5x)) = 0 ((7 * 7 + -5x * 7) + 4x * (7 + -5x)) = 0 ((49 + -35x) + 4x * (7 + -5x)) = 0 (49 + -35x + (7 * 4x + -5x * 4x)) = 0 (49 + -35x + (28x + -20x2)) = 0 Combine like terms: -35x + 28x = -7x (49 + -7x + -20x2) = 0 Solving 49 + -7x + -20x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -5x)(7 + 4x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
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 = -1.75Solution
x = {1.4, -1.75}
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