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Simplifying (5y + 4)(5y + -4) = 0 Reorder the terms: (4 + 5y)(5y + -4) = 0 Reorder the terms: (4 + 5y)(-4 + 5y) = 0 Multiply (4 + 5y) * (-4 + 5y) (4(-4 + 5y) + 5y * (-4 + 5y)) = 0 ((-4 * 4 + 5y * 4) + 5y * (-4 + 5y)) = 0 ((-16 + 20y) + 5y * (-4 + 5y)) = 0 (-16 + 20y + (-4 * 5y + 5y * 5y)) = 0 (-16 + 20y + (-20y + 25y2)) = 0 Combine like terms: 20y + -20y = 0 (-16 + 0 + 25y2) = 0 (-16 + 25y2) = 0 Solving -16 + 25y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 25y2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 25y2 = 0 + 16 25y2 = 0 + 16 Combine like terms: 0 + 16 = 16 25y2 = 16 Divide each side by '25'. y2 = 0.64 Simplifying y2 = 0.64 Take the square root of each side: y = {-0.8, 0.8}
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