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Simplifying
(4d + 5)(4d + -5) = 0
Reorder the terms:
(5 + 4d)(4d + -5) = 0
Reorder the terms:
(5 + 4d)(-5 + 4d) = 0
Multiply (5 + 4d) * (-5 + 4d)
(5(-5 + 4d) + 4d * (-5 + 4d)) = 0
((-5 * 5 + 4d * 5) + 4d * (-5 + 4d)) = 0
((-25 + 20d) + 4d * (-5 + 4d)) = 0
(-25 + 20d + (-5 * 4d + 4d * 4d)) = 0
(-25 + 20d + (-20d + 16d2)) = 0
Combine like terms: 20d + -20d = 0
(-25 + 0 + 16d2) = 0
(-25 + 16d2) = 0
Solving
-25 + 16d2 = 0
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 16d2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 16d2 = 0 + 25
16d2 = 0 + 25
Combine like terms: 0 + 25 = 25
16d2 = 25
Divide each side by '16'.
d2 = 1.5625
Simplifying
d2 = 1.5625
Take the square root of each side:
d = {-1.25, 1.25}
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