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