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Simplifying 8x2 = 7x + 1 Reorder the terms: 8x2 = 1 + 7x Solving 8x2 = 1 + 7x Solving for variable 'x'. Reorder the terms: -1 + -7x + 8x2 = 1 + 7x + -1 + -7x Reorder the terms: -1 + -7x + 8x2 = 1 + -1 + 7x + -7x Combine like terms: 1 + -1 = 0 -1 + -7x + 8x2 = 0 + 7x + -7x -1 + -7x + 8x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -7x + 8x2 = 0 Factor a trinomial. (-1 + -8x)(1 + -1x) = 0Subproblem 1
Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 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 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125Subproblem 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 = {-0.125, 1}
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