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Simplifying (7x + -5)(x + 4) = 0 Reorder the terms: (-5 + 7x)(x + 4) = 0 Reorder the terms: (-5 + 7x)(4 + x) = 0 Multiply (-5 + 7x) * (4 + x) (-5(4 + x) + 7x * (4 + x)) = 0 ((4 * -5 + x * -5) + 7x * (4 + x)) = 0 ((-20 + -5x) + 7x * (4 + x)) = 0 (-20 + -5x + (4 * 7x + x * 7x)) = 0 (-20 + -5x + (28x + 7x2)) = 0 Combine like terms: -5x + 28x = 23x (-20 + 23x + 7x2) = 0 Solving -20 + 23x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(5 + -7x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 0.7142857143}
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