=(-3d+8)(8+3d)

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Solution for =(-3d+8)(8+3d) equation:


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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