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Simplifying x(7 + -6x) = 43 (7 * x + -6x * x) = 43 (7x + -6x2) = 43 Solving 7x + -6x2 = 43 Solving for variable 'x'. Reorder the terms: -43 + 7x + -6x2 = 43 + -43 Combine like terms: 43 + -43 = 0 -43 + 7x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 7.166666667 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '-7.166666667' to each side of the equation. 7.166666667 + -1.166666667x + -7.166666667 + x2 = 0 + -7.166666667 Reorder the terms: 7.166666667 + -7.166666667 + -1.166666667x + x2 = 0 + -7.166666667 Combine like terms: 7.166666667 + -7.166666667 = 0.000000000 0.000000000 + -1.166666667x + x2 = 0 + -7.166666667 -1.166666667x + x2 = 0 + -7.166666667 Combine like terms: 0 + -7.166666667 = -7.166666667 -1.166666667x + x2 = -7.166666667 The x term is -1.166666667x. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667x + 0.3402777780 + x2 = -7.166666667 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = -7.166666667 + 0.3402777780 Combine like terms: -7.166666667 + 0.3402777780 = -6.826388889 0.3402777780 + -1.166666667x + x2 = -6.826388889 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = -6.826388889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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