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Simplifying 3x2 + -28x + 232 = 0 Reorder the terms: 232 + -28x + 3x2 = 0 Solving 232 + -28x + 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'. 77.33333333 + -9.333333333x + x2 = 0 Move the constant term to the right: Add '-77.33333333' to each side of the equation. 77.33333333 + -9.333333333x + -77.33333333 + x2 = 0 + -77.33333333 Reorder the terms: 77.33333333 + -77.33333333 + -9.333333333x + x2 = 0 + -77.33333333 Combine like terms: 77.33333333 + -77.33333333 = 0.00000000 0.00000000 + -9.333333333x + x2 = 0 + -77.33333333 -9.333333333x + x2 = 0 + -77.33333333 Combine like terms: 0 + -77.33333333 = -77.33333333 -9.333333333x + x2 = -77.33333333 The x term is -9.333333333x. Take half its coefficient (-4.666666667). Square it (21.77777778) and add it to both sides. Add '21.77777778' to each side of the equation. -9.333333333x + 21.77777778 + x2 = -77.33333333 + 21.77777778 Reorder the terms: 21.77777778 + -9.333333333x + x2 = -77.33333333 + 21.77777778 Combine like terms: -77.33333333 + 21.77777778 = -55.55555555 21.77777778 + -9.333333333x + x2 = -55.55555555 Factor a perfect square on the left side: (x + -4.666666667)(x + -4.666666667) = -55.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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