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Simplifying 4 = 3x2 + -28x + 61 Reorder the terms: 4 = 61 + -28x + 3x2 Solving 4 = 61 + -28x + 3x2 Solving for variable 'x'. Combine like terms: 4 + -61 = -57 -57 + 28x + -3x2 = 61 + -28x + 3x2 + -61 + 28x + -3x2 Reorder the terms: -57 + 28x + -3x2 = 61 + -61 + -28x + 28x + 3x2 + -3x2 Combine like terms: 61 + -61 = 0 -57 + 28x + -3x2 = 0 + -28x + 28x + 3x2 + -3x2 -57 + 28x + -3x2 = -28x + 28x + 3x2 + -3x2 Combine like terms: -28x + 28x = 0 -57 + 28x + -3x2 = 0 + 3x2 + -3x2 -57 + 28x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -57 + 28x + -3x2 = 0 Factor a trinomial. (-19 + 3x)(3 + -1x) = 0Subproblem 1
Set the factor '(-19 + 3x)' equal to zero and attempt to solve: Simplifying -19 + 3x = 0 Solving -19 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = 0 + 19 3x = 0 + 19 Combine like terms: 0 + 19 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {6.333333333, 3}
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