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Simplifying (-2x2 + 7x + -1) + -1(8x2 + -6x + 5) = 0 Reorder the terms: (-1 + 7x + -2x2) + -1(8x2 + -6x + 5) = 0 Remove parenthesis around (-1 + 7x + -2x2) -1 + 7x + -2x2 + -1(8x2 + -6x + 5) = 0 Reorder the terms: -1 + 7x + -2x2 + -1(5 + -6x + 8x2) = 0 -1 + 7x + -2x2 + (5 * -1 + -6x * -1 + 8x2 * -1) = 0 -1 + 7x + -2x2 + (-5 + 6x + -8x2) = 0 Reorder the terms: -1 + -5 + 7x + 6x + -2x2 + -8x2 = 0 Combine like terms: -1 + -5 = -6 -6 + 7x + 6x + -2x2 + -8x2 = 0 Combine like terms: 7x + 6x = 13x -6 + 13x + -2x2 + -8x2 = 0 Combine like terms: -2x2 + -8x2 = -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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