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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. (-3 + -5x)(4 + -7x) = 0Subproblem 1
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 = -0.6Subproblem 2
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 = 0.5714285714Solution
x = {-0.6, 0.5714285714}
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