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Simplifying (x + -4)(7x + 5) = 0 Reorder the terms: (-4 + x)(7x + 5) = 0 Reorder the terms: (-4 + x)(5 + 7x) = 0 Multiply (-4 + x) * (5 + 7x) (-4(5 + 7x) + x(5 + 7x)) = 0 ((5 * -4 + 7x * -4) + x(5 + 7x)) = 0 ((-20 + -28x) + x(5 + 7x)) = 0 (-20 + -28x + (5 * x + 7x * x)) = 0 (-20 + -28x + (5x + 7x2)) = 0 Combine like terms: -28x + 5x = -23x (-20 + -23x + 7x2) = 0 Solving -20 + -23x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -7x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.7142857143, 4}
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