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Simplifying (7x + -5)(4x + 7) = 0 Reorder the terms: (-5 + 7x)(4x + 7) = 0 Reorder the terms: (-5 + 7x)(7 + 4x) = 0 Multiply (-5 + 7x) * (7 + 4x) (-5(7 + 4x) + 7x * (7 + 4x)) = 0 ((7 * -5 + 4x * -5) + 7x * (7 + 4x)) = 0 ((-35 + -20x) + 7x * (7 + 4x)) = 0 (-35 + -20x + (7 * 7x + 4x * 7x)) = 0 (-35 + -20x + (49x + 28x2)) = 0 Combine like terms: -20x + 49x = 29x (-35 + 29x + 28x2) = 0 Solving -35 + 29x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -4x)(5 + -7x) = 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 '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {-1.75, 0.7142857143}
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