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Simplifying 7x2 = 13x + -6 Reorder the terms: 7x2 = -6 + 13x Solving 7x2 = -6 + 13x Solving for variable 'x'. Reorder the terms: 6 + -13x + 7x2 = -6 + 13x + 6 + -13x Reorder the terms: 6 + -13x + 7x2 = -6 + 6 + 13x + -13x Combine like terms: -6 + 6 = 0 6 + -13x + 7x2 = 0 + 13x + -13x 6 + -13x + 7x2 = 13x + -13x Combine like terms: 13x + -13x = 0 6 + -13x + 7x2 = 0 Factor a trinomial. (6 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 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 = {0.8571428571, 1}
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