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Simplifying 0 = 48 + -26x + 3x2 Solving 0 = 48 + -26x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + 26x + -3x2 = 48 + -26x + 3x2 + -48 + 26x + -3x2 Reorder the terms: -48 + 26x + -3x2 = 48 + -48 + -26x + 26x + 3x2 + -3x2 Combine like terms: 48 + -48 = 0 -48 + 26x + -3x2 = 0 + -26x + 26x + 3x2 + -3x2 -48 + 26x + -3x2 = -26x + 26x + 3x2 + -3x2 Combine like terms: -26x + 26x = 0 -48 + 26x + -3x2 = 0 + 3x2 + -3x2 -48 + 26x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -48 + 26x + -3x2 = 0 Factor a trinomial. (-6 + x)(8 + -3x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {6, 2.666666667}
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