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Simplifying 0 = 6x2 + -7x + -13 Reorder the terms: 0 = -13 + -7x + 6x2 Solving 0 = -13 + -7x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 13 = 13 13 + 7x + -6x2 = -13 + -7x + 6x2 + 13 + 7x + -6x2 Reorder the terms: 13 + 7x + -6x2 = -13 + 13 + -7x + 7x + 6x2 + -6x2 Combine like terms: -13 + 13 = 0 13 + 7x + -6x2 = 0 + -7x + 7x + 6x2 + -6x2 13 + 7x + -6x2 = -7x + 7x + 6x2 + -6x2 Combine like terms: -7x + 7x = 0 13 + 7x + -6x2 = 0 + 6x2 + -6x2 13 + 7x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 13 + 7x + -6x2 = 0 Factor a trinomial. (13 + -6x)(1 + x) = 0Subproblem 1
Set the factor '(13 + -6x)' equal to zero and attempt to solve: Simplifying 13 + -6x = 0 Solving 13 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 0 + -13 -6x = 0 + -13 Combine like terms: 0 + -13 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667Subproblem 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 = {2.166666667, -1}
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