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Simplifying (4x + -3)(5 + 7x) = 0 Reorder the terms: (-3 + 4x)(5 + 7x) = 0 Multiply (-3 + 4x) * (5 + 7x) (-3(5 + 7x) + 4x * (5 + 7x)) = 0 ((5 * -3 + 7x * -3) + 4x * (5 + 7x)) = 0 ((-15 + -21x) + 4x * (5 + 7x)) = 0 (-15 + -21x + (5 * 4x + 7x * 4x)) = 0 (-15 + -21x + (20x + 28x2)) = 0 Combine like terms: -21x + 20x = -1x (-15 + -1x + 28x2) = 0 Solving -15 + -1x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -7x)(3 + -4x) = 0Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 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 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.7142857143, 0.75}
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