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Simplifying (5x + -3)(7x + 4) = 0 Reorder the terms: (-3 + 5x)(7x + 4) = 0 Reorder the terms: (-3 + 5x)(4 + 7x) = 0 Multiply (-3 + 5x) * (4 + 7x) (-3(4 + 7x) + 5x * (4 + 7x)) = 0 ((4 * -3 + 7x * -3) + 5x * (4 + 7x)) = 0 ((-12 + -21x) + 5x * (4 + 7x)) = 0 (-12 + -21x + (4 * 5x + 7x * 5x)) = 0 (-12 + -21x + (20x + 35x2)) = 0 Combine like terms: -21x + 20x = -1x (-12 + -1x + 35x2) = 0 Solving -12 + -1x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(3 + -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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-0.5714285714, 0.6}
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