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Simplifying 6x2 + 15x + 16 = 0 Reorder the terms: 16 + 15x + 6x2 = 0 Solving 16 + 15x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.666666667 + 2.5x + x2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + 2.5x + -2.666666667 + x2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + 2.5x + x2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + 2.5x + x2 = 0 + -2.666666667 2.5x + x2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 2.5x + x2 = -2.666666667 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -2.666666667 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -2.666666667 + 1.5625 Combine like terms: -2.666666667 + 1.5625 = -1.104166667 1.5625 + 2.5x + x2 = -1.104166667 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -1.104166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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