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Simplifying 2y(6 + -8y) + 3(7y + -10) + 5 + -2y = 0 (6 * 2y + -8y * 2y) + 3(7y + -10) + 5 + -2y = 0 (12y + -16y2) + 3(7y + -10) + 5 + -2y = 0 Reorder the terms: 12y + -16y2 + 3(-10 + 7y) + 5 + -2y = 0 12y + -16y2 + (-10 * 3 + 7y * 3) + 5 + -2y = 0 12y + -16y2 + (-30 + 21y) + 5 + -2y = 0 Reorder the terms: -30 + 5 + 12y + 21y + -2y + -16y2 = 0 Combine like terms: -30 + 5 = -25 -25 + 12y + 21y + -2y + -16y2 = 0 Combine like terms: 12y + 21y = 33y -25 + 33y + -2y + -16y2 = 0 Combine like terms: 33y + -2y = 31y -25 + 31y + -16y2 = 0 Solving -25 + 31y + -16y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.5625 + -1.9375y + y2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + -1.9375y + -1.5625 + y2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + -1.9375y + y2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + -1.9375y + y2 = 0 + -1.5625 -1.9375y + y2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 -1.9375y + y2 = -1.5625 The y term is -1.9375y. Take half its coefficient (-0.96875). Square it (0.9384765625) and add it to both sides. Add '0.9384765625' to each side of the equation. -1.9375y + 0.9384765625 + y2 = -1.5625 + 0.9384765625 Reorder the terms: 0.9384765625 + -1.9375y + y2 = -1.5625 + 0.9384765625 Combine like terms: -1.5625 + 0.9384765625 = -0.6240234375 0.9384765625 + -1.9375y + y2 = -0.6240234375 Factor a perfect square on the left side: (y + -0.96875)(y + -0.96875) = -0.6240234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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