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Simplifying (7x2 + -2x + -1) + -1(5x2 + -1x + -3) = 0 Reorder the terms: (-1 + -2x + 7x2) + -1(5x2 + -1x + -3) = 0 Remove parenthesis around (-1 + -2x + 7x2) -1 + -2x + 7x2 + -1(5x2 + -1x + -3) = 0 Reorder the terms: -1 + -2x + 7x2 + -1(-3 + -1x + 5x2) = 0 -1 + -2x + 7x2 + (-3 * -1 + -1x * -1 + 5x2 * -1) = 0 -1 + -2x + 7x2 + (3 + 1x + -5x2) = 0 Reorder the terms: -1 + 3 + -2x + 1x + 7x2 + -5x2 = 0 Combine like terms: -1 + 3 = 2 2 + -2x + 1x + 7x2 + -5x2 = 0 Combine like terms: -2x + 1x = -1x 2 + -1x + 7x2 + -5x2 = 0 Combine like terms: 7x2 + -5x2 = 2x2 2 + -1x + 2x2 = 0 Solving 2 + -1x + 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'. 1 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5x + x2 = 0 + -1 -0.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5x + x2 = -1 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -1 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1 + 0.0625 Combine like terms: -1 + 0.0625 = -0.9375 0.0625 + -0.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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