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Simplifying (2x2) + (4x2 + 8x) + (-9x + 7) = 0 Reorder the terms: (2x2) + (8x + 4x2) + (-9x + 7) = 0 Remove parenthesis around (8x + 4x2) (2x2) + 8x + 4x2 + (-9x + 7) = 0 Reorder the terms: (2x2) + 8x + 4x2 + (7 + -9x) = 0 Remove parenthesis around (7 + -9x) (2x2) + 8x + 4x2 + 7 + -9x = 0 Reorder the terms: 7 + 8x + -9x + (2x2) + 4x2 = 0 Combine like terms: 8x + -9x = -1x 7 + -1x + (2x2) + 4x2 = 0 Combine like terms: (2x2) + 4x2 = 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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