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Simplifying 9x2 + -21x + 28 = 0 Reorder the terms: 28 + -21x + 9x2 = 0 Solving 28 + -21x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.111111111 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + -2.333333333x + -3.111111111 + x2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + -2.333333333x + x2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + -2.333333333x + x2 = 0 + -3.111111111 -2.333333333x + x2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 -2.333333333x + x2 = -3.111111111 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 = -3.111111111 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -3.111111111 + 1.361111112 Combine like terms: -3.111111111 + 1.361111112 = -1.749999999 1.361111112 + -2.333333333x + x2 = -1.749999999 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -1.749999999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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