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Simplifying (5x + -1)(x + 7) = 0 Reorder the terms: (-1 + 5x)(x + 7) = 0 Reorder the terms: (-1 + 5x)(7 + x) = 0 Multiply (-1 + 5x) * (7 + x) (-1(7 + x) + 5x * (7 + x)) = 0 ((7 * -1 + x * -1) + 5x * (7 + x)) = 0 ((-7 + -1x) + 5x * (7 + x)) = 0 (-7 + -1x + (7 * 5x + x * 5x)) = 0 (-7 + -1x + (35x + 5x2)) = 0 Combine like terms: -1x + 35x = 34x (-7 + 34x + 5x2) = 0 Solving -7 + 34x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(1 + -5x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-7, 0.2}
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