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Simplifying 6x2 = 13x + 5 Reorder the terms: 6x2 = 5 + 13x Solving 6x2 = 5 + 13x Solving for variable 'x'. Reorder the terms: -5 + -13x + 6x2 = 5 + 13x + -5 + -13x Reorder the terms: -5 + -13x + 6x2 = 5 + -5 + 13x + -13x Combine like terms: 5 + -5 = 0 -5 + -13x + 6x2 = 0 + 13x + -13x -5 + -13x + 6x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -5 + -13x + 6x2 = 0 Factor a trinomial. (-1 + -3x)(5 + -2x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.3333333333, 2.5}
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