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Simplifying (7 + -1x)(5x + -1) = 0 Reorder the terms: (7 + -1x)(-1 + 5x) = 0 Multiply (7 + -1x) * (-1 + 5x) (7(-1 + 5x) + -1x * (-1 + 5x)) = 0 ((-1 * 7 + 5x * 7) + -1x * (-1 + 5x)) = 0 ((-7 + 35x) + -1x * (-1 + 5x)) = 0 (-7 + 35x + (-1 * -1x + 5x * -1x)) = 0 (-7 + 35x + (1x + -5x2)) = 0 Combine like terms: 35x + 1x = 36x (-7 + 36x + -5x2) = 0 Solving -7 + 36x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(1 + -5x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 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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