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Simplifying 0 = (-3d + 8)(8 + 3d) Reorder the terms: 0 = (8 + -3d)(8 + 3d) Multiply (8 + -3d) * (8 + 3d) 0 = (8(8 + 3d) + -3d * (8 + 3d)) 0 = ((8 * 8 + 3d * 8) + -3d * (8 + 3d)) 0 = ((64 + 24d) + -3d * (8 + 3d)) 0 = (64 + 24d + (8 * -3d + 3d * -3d)) 0 = (64 + 24d + (-24d + -9d2)) Combine like terms: 24d + -24d = 0 0 = (64 + 0 + -9d2) 0 = (64 + -9d2) Solving 0 = 64 + -9d2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d2' to each side of the equation. 0 + 9d2 = 64 + -9d2 + 9d2 Remove the zero: 9d2 = 64 + -9d2 + 9d2 Combine like terms: -9d2 + 9d2 = 0 9d2 = 64 + 0 9d2 = 64 Divide each side by '9'. d2 = 7.111111111 Simplifying d2 = 7.111111111 Take the square root of each side: d = {-2.666666667, 2.666666667}
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