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Simplifying 15y(15y) + -11y + 2 = 0 Remove parenthesis around (15y) 15y * 15y + -11y + 2 = 0 Reorder the terms for easier multiplication: 15 * 15y * y + -11y + 2 = 0 Multiply 15 * 15 225y * y + -11y + 2 = 0 Multiply y * y 225y2 + -11y + 2 = 0 Reorder the terms: 2 + -11y + 225y2 = 0 Solving 2 + -11y + 225y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 225 the coefficient of the squared term: Divide each side by '225'. 0.008888888889 + -0.04888888889y + y2 = 0 Move the constant term to the right: Add '-0.008888888889' to each side of the equation. 0.008888888889 + -0.04888888889y + -0.008888888889 + y2 = 0 + -0.008888888889 Reorder the terms: 0.008888888889 + -0.008888888889 + -0.04888888889y + y2 = 0 + -0.008888888889 Combine like terms: 0.008888888889 + -0.008888888889 = 0.000000000000 0.000000000000 + -0.04888888889y + y2 = 0 + -0.008888888889 -0.04888888889y + y2 = 0 + -0.008888888889 Combine like terms: 0 + -0.008888888889 = -0.008888888889 -0.04888888889y + y2 = -0.008888888889 The y term is -0.04888888889y. Take half its coefficient (-0.02444444445). Square it (0.0005975308645) and add it to both sides. Add '0.0005975308645' to each side of the equation. -0.04888888889y + 0.0005975308645 + y2 = -0.008888888889 + 0.0005975308645 Reorder the terms: 0.0005975308645 + -0.04888888889y + y2 = -0.008888888889 + 0.0005975308645 Combine like terms: -0.008888888889 + 0.0005975308645 = -0.0082913580245 0.0005975308645 + -0.04888888889y + y2 = -0.0082913580245 Factor a perfect square on the left side: (y + -0.02444444445)(y + -0.02444444445) = -0.0082913580245 Can't calculate square root of the right side. The solution to this equation could not be determined.
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