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Simplifying 6x2 + 5x = 39 Reorder the terms: 5x + 6x2 = 39 Solving 5x + 6x2 = 39 Solving for variable 'x'. Reorder the terms: -39 + 5x + 6x2 = 39 + -39 Combine like terms: 39 + -39 = 0 -39 + 5x + 6x2 = 0 Factor a trinomial. (-3 + -1x)(13 + -6x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
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 = 2.166666667Solution
x = {-3, 2.166666667}
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