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Simplifying 13x + 3 + -6x2 = 100 Reorder the terms: 3 + 13x + -6x2 = 100 Solving 3 + 13x + -6x2 = 100 Solving for variable 'x'. Reorder the terms: 3 + -100 + 13x + -6x2 = 100 + -100 Combine like terms: 3 + -100 = -97 -97 + 13x + -6x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -97 + 13x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 16.16666667 + -2.166666667x + x2 = 0 Move the constant term to the right: Add '-16.16666667' to each side of the equation. 16.16666667 + -2.166666667x + -16.16666667 + x2 = 0 + -16.16666667 Reorder the terms: 16.16666667 + -16.16666667 + -2.166666667x + x2 = 0 + -16.16666667 Combine like terms: 16.16666667 + -16.16666667 = 0.00000000 0.00000000 + -2.166666667x + x2 = 0 + -16.16666667 -2.166666667x + x2 = 0 + -16.16666667 Combine like terms: 0 + -16.16666667 = -16.16666667 -2.166666667x + x2 = -16.16666667 The x term is -2.166666667x. Take half its coefficient (-1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. -2.166666667x + 1.173611113 + x2 = -16.16666667 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667x + x2 = -16.16666667 + 1.173611113 Combine like terms: -16.16666667 + 1.173611113 = -14.993055557 1.173611113 + -2.166666667x + x2 = -14.993055557 Factor a perfect square on the left side: (x + -1.083333334)(x + -1.083333334) = -14.993055557 Can't calculate square root of the right side. The solution to this equation could not be determined.
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