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Simplifying 3x2 + -7x + 52 = 0 Reorder the terms: 52 + -7x + 3x2 = 0 Solving 52 + -7x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 17.33333333 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-17.33333333' to each side of the equation. 17.33333333 + -2.333333333x + -17.33333333 + x2 = 0 + -17.33333333 Reorder the terms: 17.33333333 + -17.33333333 + -2.333333333x + x2 = 0 + -17.33333333 Combine like terms: 17.33333333 + -17.33333333 = 0.00000000 0.00000000 + -2.333333333x + x2 = 0 + -17.33333333 -2.333333333x + x2 = 0 + -17.33333333 Combine like terms: 0 + -17.33333333 = -17.33333333 -2.333333333x + x2 = -17.33333333 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -17.33333333 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -17.33333333 + 1.361111112 Combine like terms: -17.33333333 + 1.361111112 = -15.972222218 1.361111112 + -2.333333333x + x2 = -15.972222218 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -15.972222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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