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Simplifying 6x2 + 13x + 7 = 26 Reorder the terms: 7 + 13x + 6x2 = 26 Solving 7 + 13x + 6x2 = 26 Solving for variable 'x'. Reorder the terms: 7 + -26 + 13x + 6x2 = 26 + -26 Combine like terms: 7 + -26 = -19 -19 + 13x + 6x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -19 + 13x + 6x2 = 0 Factor a trinomial. (-19 + -6x)(1 + -1x) = 0Subproblem 1
Set the factor '(-19 + -6x)' equal to zero and attempt to solve: Simplifying -19 + -6x = 0 Solving -19 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -6x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -6x = 0 + 19 -6x = 0 + 19 Combine like terms: 0 + 19 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667Subproblem 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 = {-3.166666667, 1}
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