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Simplifying 15x2 + 6x + 1 = 0 Reorder the terms: 1 + 6x + 15x2 = 0 Solving 1 + 6x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.06666666667 + 0.4x + x2 = 0 Move the constant term to the right: Add '-0.06666666667' to each side of the equation. 0.06666666667 + 0.4x + -0.06666666667 + x2 = 0 + -0.06666666667 Reorder the terms: 0.06666666667 + -0.06666666667 + 0.4x + x2 = 0 + -0.06666666667 Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000 0.00000000000 + 0.4x + x2 = 0 + -0.06666666667 0.4x + x2 = 0 + -0.06666666667 Combine like terms: 0 + -0.06666666667 = -0.06666666667 0.4x + x2 = -0.06666666667 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.06666666667 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.06666666667 + 0.04 Combine like terms: -0.06666666667 + 0.04 = -0.02666666667 0.04 + 0.4x + x2 = -0.02666666667 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.02666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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