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Simplifying (4y + 3)(4y + -3) = 0 Reorder the terms: (3 + 4y)(4y + -3) = 0 Reorder the terms: (3 + 4y)(-3 + 4y) = 0 Multiply (3 + 4y) * (-3 + 4y) (3(-3 + 4y) + 4y * (-3 + 4y)) = 0 ((-3 * 3 + 4y * 3) + 4y * (-3 + 4y)) = 0 ((-9 + 12y) + 4y * (-3 + 4y)) = 0 (-9 + 12y + (-3 * 4y + 4y * 4y)) = 0 (-9 + 12y + (-12y + 16y2)) = 0 Combine like terms: 12y + -12y = 0 (-9 + 0 + 16y2) = 0 (-9 + 16y2) = 0 Solving -9 + 16y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 16y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16y2 = 0 + 9 16y2 = 0 + 9 Combine like terms: 0 + 9 = 9 16y2 = 9 Divide each side by '16'. y2 = 0.5625 Simplifying y2 = 0.5625 Take the square root of each side: y = {-0.75, 0.75}
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