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Simplifying 0 = 3x2 + -17x + 30 Reorder the terms: 0 = 30 + -17x + 3x2 Solving 0 = 30 + -17x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + 17x + -3x2 = 30 + -17x + 3x2 + -30 + 17x + -3x2 Reorder the terms: -30 + 17x + -3x2 = 30 + -30 + -17x + 17x + 3x2 + -3x2 Combine like terms: 30 + -30 = 0 -30 + 17x + -3x2 = 0 + -17x + 17x + 3x2 + -3x2 -30 + 17x + -3x2 = -17x + 17x + 3x2 + -3x2 Combine like terms: -17x + 17x = 0 -30 + 17x + -3x2 = 0 + 3x2 + -3x2 -30 + 17x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -30 + 17x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 10 + -5.666666667x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -5.666666667x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -5.666666667x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5.666666667x + x2 = 0 + -10 -5.666666667x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -5.666666667x + x2 = -10 The x term is -5.666666667x. Take half its coefficient (-2.833333334). Square it (8.027777782) and add it to both sides. Add '8.027777782' to each side of the equation. -5.666666667x + 8.027777782 + x2 = -10 + 8.027777782 Reorder the terms: 8.027777782 + -5.666666667x + x2 = -10 + 8.027777782 Combine like terms: -10 + 8.027777782 = -1.972222218 8.027777782 + -5.666666667x + x2 = -1.972222218 Factor a perfect square on the left side: (x + -2.833333334)(x + -2.833333334) = -1.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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