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Simplifying 3x2 = 13x + 30 Reorder the terms: 3x2 = 30 + 13x Solving 3x2 = 30 + 13x Solving for variable 'x'. Reorder the terms: -30 + -13x + 3x2 = 30 + 13x + -30 + -13x Reorder the terms: -30 + -13x + 3x2 = 30 + -30 + 13x + -13x Combine like terms: 30 + -30 = 0 -30 + -13x + 3x2 = 0 + 13x + -13x -30 + -13x + 3x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -30 + -13x + 3x2 = 0 Factor a trinomial. (-5 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-1.666666667, 6}
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