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Simplifying (3x + 5)(7x + -4) = 0 Reorder the terms: (5 + 3x)(7x + -4) = 0 Reorder the terms: (5 + 3x)(-4 + 7x) = 0 Multiply (5 + 3x) * (-4 + 7x) (5(-4 + 7x) + 3x * (-4 + 7x)) = 0 ((-4 * 5 + 7x * 5) + 3x * (-4 + 7x)) = 0 ((-20 + 35x) + 3x * (-4 + 7x)) = 0 (-20 + 35x + (-4 * 3x + 7x * 3x)) = 0 (-20 + 35x + (-12x + 21x2)) = 0 Combine like terms: 35x + -12x = 23x (-20 + 23x + 21x2) = 0 Solving -20 + 23x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(4 + -7x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 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 = {-1.666666667, 0.5714285714}
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