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Simplifying (7x2 + -5x + 2) + -1(-3x2 + 8x + -4) = 0 Reorder the terms: (2 + -5x + 7x2) + -1(-3x2 + 8x + -4) = 0 Remove parenthesis around (2 + -5x + 7x2) 2 + -5x + 7x2 + -1(-3x2 + 8x + -4) = 0 Reorder the terms: 2 + -5x + 7x2 + -1(-4 + 8x + -3x2) = 0 2 + -5x + 7x2 + (-4 * -1 + 8x * -1 + -3x2 * -1) = 0 2 + -5x + 7x2 + (4 + -8x + 3x2) = 0 Reorder the terms: 2 + 4 + -5x + -8x + 7x2 + 3x2 = 0 Combine like terms: 2 + 4 = 6 6 + -5x + -8x + 7x2 + 3x2 = 0 Combine like terms: -5x + -8x = -13x 6 + -13x + 7x2 + 3x2 = 0 Combine like terms: 7x2 + 3x2 = 10x2 6 + -13x + 10x2 = 0 Solving 6 + -13x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.6 + -1.3x + x2 = 0.0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1.3x + -0.6 + x2 = 0.0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1.3x + x2 = 0.0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.3x + x2 = 0.0 + -0.6 -1.3x + x2 = 0.0 + -0.6 Combine like terms: 0.0 + -0.6 = -0.6 -1.3x + x2 = -0.6 The x term is -1.3x. Take half its coefficient (-0.65). Square it (0.4225) and add it to both sides. Add '0.4225' to each side of the equation. -1.3x + 0.4225 + x2 = -0.6 + 0.4225 Reorder the terms: 0.4225 + -1.3x + x2 = -0.6 + 0.4225 Combine like terms: -0.6 + 0.4225 = -0.1775 0.4225 + -1.3x + x2 = -0.1775 Factor a perfect square on the left side: (x + -0.65)(x + -0.65) = -0.1775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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