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Simplifying 3x2 = 38x + -104 Reorder the terms: 3x2 = -104 + 38x Solving 3x2 = -104 + 38x Solving for variable 'x'. Reorder the terms: 104 + -38x + 3x2 = -104 + 38x + 104 + -38x Reorder the terms: 104 + -38x + 3x2 = -104 + 104 + 38x + -38x Combine like terms: -104 + 104 = 0 104 + -38x + 3x2 = 0 + 38x + -38x 104 + -38x + 3x2 = 38x + -38x Combine like terms: 38x + -38x = 0 104 + -38x + 3x2 = 0 Factor a trinomial. (4 + -1x)(26 + -3x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(26 + -3x)' equal to zero and attempt to solve: Simplifying 26 + -3x = 0 Solving 26 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 0 + -26 -3x = 0 + -26 Combine like terms: 0 + -26 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667Solution
x = {4, 8.666666667}
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