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Simplifying 7x(x + -1) = 1 + -1x Reorder the terms: 7x(-1 + x) = 1 + -1x (-1 * 7x + x * 7x) = 1 + -1x (-7x + 7x2) = 1 + -1x Solving -7x + 7x2 = 1 + -1x Solving for variable 'x'. Reorder the terms: -1 + -7x + x + 7x2 = 1 + -1x + -1 + x Combine like terms: -7x + x = -6x -1 + -6x + 7x2 = 1 + -1x + -1 + x Reorder the terms: -1 + -6x + 7x2 = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -6x + 7x2 = 0 + -1x + x -1 + -6x + 7x2 = -1x + x Combine like terms: -1x + x = 0 -1 + -6x + 7x2 = 0 Factor a trinomial. (-1 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.1428571429, 1}
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