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Simplifying -51x2 + 100x = 800 Reorder the terms: 100x + -51x2 = 800 Solving 100x + -51x2 = 800 Solving for variable 'x'. Reorder the terms: -800 + 100x + -51x2 = 800 + -800 Combine like terms: 800 + -800 = 0 -800 + 100x + -51x2 = 0 Begin completing the square. Divide all terms by -51 the coefficient of the squared term: Divide each side by '-51'. 15.68627451 + -1.960784314x + x2 = 0 Move the constant term to the right: Add '-15.68627451' to each side of the equation. 15.68627451 + -1.960784314x + -15.68627451 + x2 = 0 + -15.68627451 Reorder the terms: 15.68627451 + -15.68627451 + -1.960784314x + x2 = 0 + -15.68627451 Combine like terms: 15.68627451 + -15.68627451 = 0.00000000 0.00000000 + -1.960784314x + x2 = 0 + -15.68627451 -1.960784314x + x2 = 0 + -15.68627451 Combine like terms: 0 + -15.68627451 = -15.68627451 -1.960784314x + x2 = -15.68627451 The x term is -1.960784314x. Take half its coefficient (-0.980392157). Square it (0.9611687815) and add it to both sides. Add '0.9611687815' to each side of the equation. -1.960784314x + 0.9611687815 + x2 = -15.68627451 + 0.9611687815 Reorder the terms: 0.9611687815 + -1.960784314x + x2 = -15.68627451 + 0.9611687815 Combine like terms: -15.68627451 + 0.9611687815 = -14.7251057285 0.9611687815 + -1.960784314x + x2 = -14.7251057285 Factor a perfect square on the left side: (x + -0.980392157)(x + -0.980392157) = -14.7251057285 Can't calculate square root of the right side. The solution to this equation could not be determined.
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