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Simplifying (3 + -1x)(3 + -1x) + 4x2 + 19 = 0 Multiply (3 + -1x) * (3 + -1x) (3(3 + -1x) + -1x * (3 + -1x)) + 4x2 + 19 = 0 ((3 * 3 + -1x * 3) + -1x * (3 + -1x)) + 4x2 + 19 = 0 ((9 + -3x) + -1x * (3 + -1x)) + 4x2 + 19 = 0 (9 + -3x + (3 * -1x + -1x * -1x)) + 4x2 + 19 = 0 (9 + -3x + (-3x + 1x2)) + 4x2 + 19 = 0 Combine like terms: -3x + -3x = -6x (9 + -6x + 1x2) + 4x2 + 19 = 0 Reorder the terms: 9 + 19 + -6x + 1x2 + 4x2 = 0 Combine like terms: 9 + 19 = 28 28 + -6x + 1x2 + 4x2 = 0 Combine like terms: 1x2 + 4x2 = 5x2 28 + -6x + 5x2 = 0 Solving 28 + -6x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.6 + -1.2x + x2 = 0 Move the constant term to the right: Add '-5.6' to each side of the equation. 5.6 + -1.2x + -5.6 + x2 = 0 + -5.6 Reorder the terms: 5.6 + -5.6 + -1.2x + x2 = 0 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -1.2x + x2 = 0 + -5.6 -1.2x + x2 = 0 + -5.6 Combine like terms: 0 + -5.6 = -5.6 -1.2x + x2 = -5.6 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -5.6 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -5.6 + 0.36 Combine like terms: -5.6 + 0.36 = -5.24 0.36 + -1.2x + x2 = -5.24 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -5.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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