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Simplifying 5x + -1 = -4x * 4x + -6 Reorder the terms: -1 + 5x = -4x * 4x + -6 Reorder the terms for easier multiplication: -1 + 5x = -4 * 4x * x + -6 Multiply -4 * 4 -1 + 5x = -16x * x + -6 Multiply x * x -1 + 5x = -16x2 + -6 Reorder the terms: -1 + 5x = -6 + -16x2 Solving -1 + 5x = -6 + -16x2 Solving for variable 'x'. Reorder the terms: -1 + 6 + 5x + 16x2 = -6 + -16x2 + 6 + 16x2 Combine like terms: -1 + 6 = 5 5 + 5x + 16x2 = -6 + -16x2 + 6 + 16x2 Reorder the terms: 5 + 5x + 16x2 = -6 + 6 + -16x2 + 16x2 Combine like terms: -6 + 6 = 0 5 + 5x + 16x2 = 0 + -16x2 + 16x2 5 + 5x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 5 + 5x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + 0.3125x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + 0.3125x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + 0.3125x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + 0.3125x + x2 = 0 + -0.3125 0.3125x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 0.3125x + x2 = -0.3125 The x term is 0.3125x. Take half its coefficient (0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. 0.3125x + 0.0244140625 + x2 = -0.3125 + 0.0244140625 Reorder the terms: 0.0244140625 + 0.3125x + x2 = -0.3125 + 0.0244140625 Combine like terms: -0.3125 + 0.0244140625 = -0.2880859375 0.0244140625 + 0.3125x + x2 = -0.2880859375 Factor a perfect square on the left side: (x + 0.15625)(x + 0.15625) = -0.2880859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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