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Simplifying 3x2 + 14x + 8 = 48 Reorder the terms: 8 + 14x + 3x2 = 48 Solving 8 + 14x + 3x2 = 48 Solving for variable 'x'. Reorder the terms: 8 + -48 + 14x + 3x2 = 48 + -48 Combine like terms: 8 + -48 = -40 -40 + 14x + 3x2 = 48 + -48 Combine like terms: 48 + -48 = 0 -40 + 14x + 3x2 = 0 Factor a trinomial. (-20 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-6.666666667, 2}
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