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Simplifying (2y + 5)(4y2 + 25 + -10y) = 0 Reorder the terms: (5 + 2y)(4y2 + 25 + -10y) = 0 Reorder the terms: (5 + 2y)(25 + -10y + 4y2) = 0 Multiply (5 + 2y) * (25 + -10y + 4y2) (5(25 + -10y + 4y2) + 2y * (25 + -10y + 4y2)) = 0 ((25 * 5 + -10y * 5 + 4y2 * 5) + 2y * (25 + -10y + 4y2)) = 0 ((125 + -50y + 20y2) + 2y * (25 + -10y + 4y2)) = 0 (125 + -50y + 20y2 + (25 * 2y + -10y * 2y + 4y2 * 2y)) = 0 (125 + -50y + 20y2 + (50y + -20y2 + 8y3)) = 0 Reorder the terms: (125 + -50y + 50y + 20y2 + -20y2 + 8y3) = 0 Combine like terms: -50y + 50y = 0 (125 + 0 + 20y2 + -20y2 + 8y3) = 0 (125 + 20y2 + -20y2 + 8y3) = 0 Combine like terms: 20y2 + -20y2 = 0 (125 + 0 + 8y3) = 0 (125 + 8y3) = 0 Solving 125 + 8y3 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + 8y3 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + 8y3 = 0 + -125 8y3 = 0 + -125 Combine like terms: 0 + -125 = -125 8y3 = -125 Divide each side by '8'. y3 = -15.625 Simplifying y3 = -15.625 Reorder the terms: 15.625 + y3 = -15.625 + 15.625 Combine like terms: -15.625 + 15.625 = 0.000 15.625 + y3 = 0.000 The solution to this equation could not be determined.
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