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Simplifying (5x + -7)(7x + 4) = 0 Reorder the terms: (-7 + 5x)(7x + 4) = 0 Reorder the terms: (-7 + 5x)(4 + 7x) = 0 Multiply (-7 + 5x) * (4 + 7x) (-7(4 + 7x) + 5x * (4 + 7x)) = 0 ((4 * -7 + 7x * -7) + 5x * (4 + 7x)) = 0 ((-28 + -49x) + 5x * (4 + 7x)) = 0 (-28 + -49x + (4 * 5x + 7x * 5x)) = 0 (-28 + -49x + (20x + 35x2)) = 0 Combine like terms: -49x + 20x = -29x (-28 + -29x + 35x2) = 0 Solving -28 + -29x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(7 + -5x) = 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 '(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 = 1.4Solution
x = {-0.5714285714, 1.4}
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