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Simplifying (7x2 + -6x + 3) + -1(2x2 + -8) = 0 Reorder the terms: (3 + -6x + 7x2) + -1(2x2 + -8) = 0 Remove parenthesis around (3 + -6x + 7x2) 3 + -6x + 7x2 + -1(2x2 + -8) = 0 Reorder the terms: 3 + -6x + 7x2 + -1(-8 + 2x2) = 0 3 + -6x + 7x2 + (-8 * -1 + 2x2 * -1) = 0 3 + -6x + 7x2 + (8 + -2x2) = 0 Reorder the terms: 3 + 8 + -6x + 7x2 + -2x2 = 0 Combine like terms: 3 + 8 = 11 11 + -6x + 7x2 + -2x2 = 0 Combine like terms: 7x2 + -2x2 = 5x2 11 + -6x + 5x2 = 0 Solving 11 + -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'. 2.2 + -1.2x + x2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + -1.2x + -2.2 + x2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + -1.2x + x2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -1.2x + x2 = 0 + -2.2 -1.2x + x2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 -1.2x + x2 = -2.2 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 = -2.2 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -2.2 + 0.36 Combine like terms: -2.2 + 0.36 = -1.84 0.36 + -1.2x + x2 = -1.84 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -1.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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