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Simplifying 2y(5 + -7y) = 9 + -1(3y + -2) (5 * 2y + -7y * 2y) = 9 + -1(3y + -2) (10y + -14y2) = 9 + -1(3y + -2) Reorder the terms: 10y + -14y2 = 9 + -1(-2 + 3y) 10y + -14y2 = 9 + (-2 * -1 + 3y * -1) 10y + -14y2 = 9 + (2 + -3y) Combine like terms: 9 + 2 = 11 10y + -14y2 = 11 + -3y Solving 10y + -14y2 = 11 + -3y Solving for variable 'y'. Reorder the terms: -11 + 10y + 3y + -14y2 = 11 + -3y + -11 + 3y Combine like terms: 10y + 3y = 13y -11 + 13y + -14y2 = 11 + -3y + -11 + 3y Reorder the terms: -11 + 13y + -14y2 = 11 + -11 + -3y + 3y Combine like terms: 11 + -11 = 0 -11 + 13y + -14y2 = 0 + -3y + 3y -11 + 13y + -14y2 = -3y + 3y Combine like terms: -3y + 3y = 0 -11 + 13y + -14y2 = 0 Begin completing the square. Divide all terms by -14 the coefficient of the squared term: Divide each side by '-14'. 0.7857142857 + -0.9285714286y + y2 = 0 Move the constant term to the right: Add '-0.7857142857' to each side of the equation. 0.7857142857 + -0.9285714286y + -0.7857142857 + y2 = 0 + -0.7857142857 Reorder the terms: 0.7857142857 + -0.7857142857 + -0.9285714286y + y2 = 0 + -0.7857142857 Combine like terms: 0.7857142857 + -0.7857142857 = 0.0000000000 0.0000000000 + -0.9285714286y + y2 = 0 + -0.7857142857 -0.9285714286y + y2 = 0 + -0.7857142857 Combine like terms: 0 + -0.7857142857 = -0.7857142857 -0.9285714286y + y2 = -0.7857142857 The y term is -0.9285714286y. Take half its coefficient (-0.4642857143). Square it (0.2155612245) and add it to both sides. Add '0.2155612245' to each side of the equation. -0.9285714286y + 0.2155612245 + y2 = -0.7857142857 + 0.2155612245 Reorder the terms: 0.2155612245 + -0.9285714286y + y2 = -0.7857142857 + 0.2155612245 Combine like terms: -0.7857142857 + 0.2155612245 = -0.5701530612 0.2155612245 + -0.9285714286y + y2 = -0.5701530612 Factor a perfect square on the left side: (y + -0.4642857143)(y + -0.4642857143) = -0.5701530612 Can't calculate square root of the right side. The solution to this equation could not be determined.
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