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Simplifying (x2 + -2x + 1) + -1(7x2 + -3x + 8) = 0 Reorder the terms: (1 + -2x + x2) + -1(7x2 + -3x + 8) = 0 Remove parenthesis around (1 + -2x + x2) 1 + -2x + x2 + -1(7x2 + -3x + 8) = 0 Reorder the terms: 1 + -2x + x2 + -1(8 + -3x + 7x2) = 0 1 + -2x + x2 + (8 * -1 + -3x * -1 + 7x2 * -1) = 0 1 + -2x + x2 + (-8 + 3x + -7x2) = 0 Reorder the terms: 1 + -8 + -2x + 3x + x2 + -7x2 = 0 Combine like terms: 1 + -8 = -7 -7 + -2x + 3x + x2 + -7x2 = 0 Combine like terms: -2x + 3x = 1x -7 + 1x + x2 + -7x2 = 0 Combine like terms: x2 + -7x2 = -6x2 -7 + 1x + -6x2 = 0 Solving -7 + 1x + -6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 1.166666667 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -0.1666666667x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -0.1666666667x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -0.1666666667x + x2 = 0 + -1.166666667 -0.1666666667x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -0.1666666667x + x2 = -1.166666667 The x term is -0.1666666667x. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667x + 0.006944444447 + x2 = -1.166666667 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -1.166666667 + 0.006944444447 Combine like terms: -1.166666667 + 0.006944444447 = -1.159722222553 0.006944444447 + -0.1666666667x + x2 = -1.159722222553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -1.159722222553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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