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Simplifying (7x + -0.6) + -1(-2x2 + 4x + -8) = 0 Reorder the terms: (-0.6 + 7x) + -1(-2x2 + 4x + -8) = 0 Remove parenthesis around (-0.6 + 7x) -0.6 + 7x + -1(-2x2 + 4x + -8) = 0 Reorder the terms: -0.6 + 7x + -1(-8 + 4x + -2x2) = 0 -0.6 + 7x + (-8 * -1 + 4x * -1 + -2x2 * -1) = 0 -0.6 + 7x + (8 + -4x + 2x2) = 0 Reorder the terms: -0.6 + 8 + 7x + -4x + 2x2 = 0 Combine like terms: -0.6 + 8 = 7.4 7.4 + 7x + -4x + 2x2 = 0 Combine like terms: 7x + -4x = 3x 7.4 + 3x + 2x2 = 0 Solving 7.4 + 3x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.7 + 1.5x + x2 = 0 Move the constant term to the right: Add '-3.7' to each side of the equation. 3.7 + 1.5x + -3.7 + x2 = 0 + -3.7 Reorder the terms: 3.7 + -3.7 + 1.5x + x2 = 0 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 1.5x + x2 = 0 + -3.7 1.5x + x2 = 0 + -3.7 Combine like terms: 0 + -3.7 = -3.7 1.5x + x2 = -3.7 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -3.7 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -3.7 + 0.5625 Combine like terms: -3.7 + 0.5625 = -3.1375 0.5625 + 1.5x + x2 = -3.1375 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -3.1375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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