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Simplifying (5x + 7)(4x + -1) = 0 Reorder the terms: (7 + 5x)(4x + -1) = 0 Reorder the terms: (7 + 5x)(-1 + 4x) = 0 Multiply (7 + 5x) * (-1 + 4x) (7(-1 + 4x) + 5x * (-1 + 4x)) = 0 ((-1 * 7 + 4x * 7) + 5x * (-1 + 4x)) = 0 ((-7 + 28x) + 5x * (-1 + 4x)) = 0 (-7 + 28x + (-1 * 5x + 4x * 5x)) = 0 (-7 + 28x + (-5x + 20x2)) = 0 Combine like terms: 28x + -5x = 23x (-7 + 23x + 20x2) = 0 Solving -7 + 23x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(1 + -4x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-1.4, 0.25}
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