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Simplifying 3x2 = 10x + 48 Reorder the terms: 3x2 = 48 + 10x Solving 3x2 = 48 + 10x Solving for variable 'x'. Reorder the terms: -48 + -10x + 3x2 = 48 + 10x + -48 + -10x Reorder the terms: -48 + -10x + 3x2 = 48 + -48 + 10x + -10x Combine like terms: 48 + -48 = 0 -48 + -10x + 3x2 = 0 + 10x + -10x -48 + -10x + 3x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -48 + -10x + 3x2 = 0 Factor a trinomial. (-8 + -3x)(6 + -1x) = 0Subproblem 1
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 = -2.666666667Subproblem 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 = {-2.666666667, 6}
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