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Simplifying -12x2 + 83x + 7 = 0 Reorder the terms: 7 + 83x + -12x2 = 0 Solving 7 + 83x + -12x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(1 + 12x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
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 = -0.08333333333Solution
x = {7, -0.08333333333}
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