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Simplifying 419.8 + -7x2 = 11x + 2069.76 Reorder the terms: 419.8 + -7x2 = 2069.76 + 11x Solving 419.8 + -7x2 = 2069.76 + 11x Solving for variable 'x'. Reorder the terms: 419.8 + -2069.76 + -11x + -7x2 = 2069.76 + 11x + -2069.76 + -11x Combine like terms: 419.8 + -2069.76 = -1649.96 -1649.96 + -11x + -7x2 = 2069.76 + 11x + -2069.76 + -11x Reorder the terms: -1649.96 + -11x + -7x2 = 2069.76 + -2069.76 + 11x + -11x Combine like terms: 2069.76 + -2069.76 = 0.00 -1649.96 + -11x + -7x2 = 0.00 + 11x + -11x -1649.96 + -11x + -7x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -1649.96 + -11x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 235.7085714 + 1.571428571x + x2 = 0 Move the constant term to the right: Add '-235.7085714' to each side of the equation. 235.7085714 + 1.571428571x + -235.7085714 + x2 = 0 + -235.7085714 Reorder the terms: 235.7085714 + -235.7085714 + 1.571428571x + x2 = 0 + -235.7085714 Combine like terms: 235.7085714 + -235.7085714 = 0.0000000 0.0000000 + 1.571428571x + x2 = 0 + -235.7085714 1.571428571x + x2 = 0 + -235.7085714 Combine like terms: 0 + -235.7085714 = -235.7085714 1.571428571x + x2 = -235.7085714 The x term is 1.571428571x. Take half its coefficient (0.7857142855). Square it (0.6173469384) and add it to both sides. Add '0.6173469384' to each side of the equation. 1.571428571x + 0.6173469384 + x2 = -235.7085714 + 0.6173469384 Reorder the terms: 0.6173469384 + 1.571428571x + x2 = -235.7085714 + 0.6173469384 Combine like terms: -235.7085714 + 0.6173469384 = -235.0912244616 0.6173469384 + 1.571428571x + x2 = -235.0912244616 Factor a perfect square on the left side: (x + 0.7857142855)(x + 0.7857142855) = -235.0912244616 Can't calculate square root of the right side. The solution to this equation could not be determined.
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