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Simplifying 15x2 = 8x + -16 Reorder the terms: 15x2 = -16 + 8x Solving 15x2 = -16 + 8x Solving for variable 'x'. Reorder the terms: 16 + -8x + 15x2 = -16 + 8x + 16 + -8x Reorder the terms: 16 + -8x + 15x2 = -16 + 16 + 8x + -8x Combine like terms: -16 + 16 = 0 16 + -8x + 15x2 = 0 + 8x + -8x 16 + -8x + 15x2 = 8x + -8x Combine like terms: 8x + -8x = 0 16 + -8x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.066666667 + -0.5333333333x + x2 = 0 Move the constant term to the right: Add '-1.066666667' to each side of the equation. 1.066666667 + -0.5333333333x + -1.066666667 + x2 = 0 + -1.066666667 Reorder the terms: 1.066666667 + -1.066666667 + -0.5333333333x + x2 = 0 + -1.066666667 Combine like terms: 1.066666667 + -1.066666667 = 0.000000000 0.000000000 + -0.5333333333x + x2 = 0 + -1.066666667 -0.5333333333x + x2 = 0 + -1.066666667 Combine like terms: 0 + -1.066666667 = -1.066666667 -0.5333333333x + x2 = -1.066666667 The x term is -0.5333333333x. Take half its coefficient (-0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. -0.5333333333x + 0.07111111113 + x2 = -1.066666667 + 0.07111111113 Reorder the terms: 0.07111111113 + -0.5333333333x + x2 = -1.066666667 + 0.07111111113 Combine like terms: -1.066666667 + 0.07111111113 = -0.99555555587 0.07111111113 + -0.5333333333x + x2 = -0.99555555587 Factor a perfect square on the left side: (x + -0.2666666667)(x + -0.2666666667) = -0.99555555587 Can't calculate square root of the right side. The solution to this equation could not be determined.
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