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Simplifying (4x + -5)(7x + 4) = 0 Reorder the terms: (-5 + 4x)(7x + 4) = 0 Reorder the terms: (-5 + 4x)(4 + 7x) = 0 Multiply (-5 + 4x) * (4 + 7x) (-5(4 + 7x) + 4x * (4 + 7x)) = 0 ((4 * -5 + 7x * -5) + 4x * (4 + 7x)) = 0 ((-20 + -35x) + 4x * (4 + 7x)) = 0 (-20 + -35x + (4 * 4x + 7x * 4x)) = 0 (-20 + -35x + (16x + 28x2)) = 0 Combine like terms: -35x + 16x = -19x (-20 + -19x + 28x2) = 0 Solving -20 + -19x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(5 + -4x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 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 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-0.5714285714, 1.25}
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