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Simplifying (7x2 + -4x + 6) + -1(2x2 + 3x + -10) = 0 Reorder the terms: (6 + -4x + 7x2) + -1(2x2 + 3x + -10) = 0 Remove parenthesis around (6 + -4x + 7x2) 6 + -4x + 7x2 + -1(2x2 + 3x + -10) = 0 Reorder the terms: 6 + -4x + 7x2 + -1(-10 + 3x + 2x2) = 0 6 + -4x + 7x2 + (-10 * -1 + 3x * -1 + 2x2 * -1) = 0 6 + -4x + 7x2 + (10 + -3x + -2x2) = 0 Reorder the terms: 6 + 10 + -4x + -3x + 7x2 + -2x2 = 0 Combine like terms: 6 + 10 = 16 16 + -4x + -3x + 7x2 + -2x2 = 0 Combine like terms: -4x + -3x = -7x 16 + -7x + 7x2 + -2x2 = 0 Combine like terms: 7x2 + -2x2 = 5x2 16 + -7x + 5x2 = 0 Solving 16 + -7x + 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'. 3.2 + -1.4x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -1.4x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -1.4x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -1.4x + x2 = 0 + -3.2 -1.4x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -1.4x + x2 = -3.2 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -3.2 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -3.2 + 0.49 Combine like terms: -3.2 + 0.49 = -2.71 0.49 + -1.4x + x2 = -2.71 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -2.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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