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Simplifying 1 = 12x2 + 11x Reorder the terms: 1 = 11x + 12x2 Solving 1 = 11x + 12x2 Solving for variable 'x'. Reorder the terms: 1 + -11x + -12x2 = 11x + -11x + 12x2 + -12x2 Combine like terms: 11x + -11x = 0 1 + -11x + -12x2 = 0 + 12x2 + -12x2 1 + -11x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 1 + -11x + -12x2 = 0 Factor a trinomial. (1 + -12x)(1 + x) = 0Subproblem 1
Set the factor '(1 + -12x)' equal to zero and attempt to solve: Simplifying 1 + -12x = 0 Solving 1 + -12x = 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 + -12x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 0 + -1 -12x = 0 + -1 Combine like terms: 0 + -1 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333Subproblem 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 = {0.08333333333, -1}
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