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Simplifying 3x2 + -4x + 16 = x Reorder the terms: 16 + -4x + 3x2 = x Solving 16 + -4x + 3x2 = x Solving for variable 'x'. Reorder the terms: 16 + -4x + -1x + 3x2 = x + -1x Combine like terms: -4x + -1x = -5x 16 + -5x + 3x2 = x + -1x Combine like terms: x + -1x = 0 16 + -5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5.333333333 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + -1.666666667x + -5.333333333 + x2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + -1.666666667x + x2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + -1.666666667x + x2 = 0 + -5.333333333 -1.666666667x + x2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 -1.666666667x + x2 = -5.333333333 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -5.333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -5.333333333 + 0.6944444447 Combine like terms: -5.333333333 + 0.6944444447 = -4.6388888883 0.6944444447 + -1.666666667x + x2 = -4.6388888883 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -4.6388888883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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