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Simplifying (7x + 4)(x + -5) = 0 Reorder the terms: (4 + 7x)(x + -5) = 0 Reorder the terms: (4 + 7x)(-5 + x) = 0 Multiply (4 + 7x) * (-5 + x) (4(-5 + x) + 7x * (-5 + x)) = 0 ((-5 * 4 + x * 4) + 7x * (-5 + x)) = 0 ((-20 + 4x) + 7x * (-5 + x)) = 0 (-20 + 4x + (-5 * 7x + x * 7x)) = 0 (-20 + 4x + (-35x + 7x2)) = 0 Combine like terms: 4x + -35x = -31x (-20 + -31x + 7x2) = 0 Solving -20 + -31x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.5714285714, 5}
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