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Simplifying 4x * 4x + 19x + 21 = 0 Reorder the terms for easier multiplication: 4 * 4x * x + 19x + 21 = 0 Multiply 4 * 4 16x * x + 19x + 21 = 0 Multiply x * x 16x2 + 19x + 21 = 0 Reorder the terms: 21 + 19x + 16x2 = 0 Solving 21 + 19x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.3125 + 1.1875x + x2 = 0 Move the constant term to the right: Add '-1.3125' to each side of the equation. 1.3125 + 1.1875x + -1.3125 + x2 = 0 + -1.3125 Reorder the terms: 1.3125 + -1.3125 + 1.1875x + x2 = 0 + -1.3125 Combine like terms: 1.3125 + -1.3125 = 0.0000 0.0000 + 1.1875x + x2 = 0 + -1.3125 1.1875x + x2 = 0 + -1.3125 Combine like terms: 0 + -1.3125 = -1.3125 1.1875x + x2 = -1.3125 The x term is 1.1875x. Take half its coefficient (0.59375). Square it (0.3525390625) and add it to both sides. Add '0.3525390625' to each side of the equation. 1.1875x + 0.3525390625 + x2 = -1.3125 + 0.3525390625 Reorder the terms: 0.3525390625 + 1.1875x + x2 = -1.3125 + 0.3525390625 Combine like terms: -1.3125 + 0.3525390625 = -0.9599609375 0.3525390625 + 1.1875x + x2 = -0.9599609375 Factor a perfect square on the left side: (x + 0.59375)(x + 0.59375) = -0.9599609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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