(2d+5)(1-4d)=17-8d^2

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Solution for (2d+5)(1-4d)=17-8d^2 equation: 


Simplifying
(2d + 5)(1 + -4d) = 17 + -8d2

Reorder the terms:
(5 + 2d)(1 + -4d) = 17 + -8d2

Multiply (5 + 2d) * (1 + -4d)
(5(1 + -4d) + 2d * (1 + -4d)) = 17 + -8d2
((1 * 5 + -4d * 5) + 2d * (1 + -4d)) = 17 + -8d2
((5 + -20d) + 2d * (1 + -4d)) = 17 + -8d2
(5 + -20d + (1 * 2d + -4d * 2d)) = 17 + -8d2
(5 + -20d + (2d + -8d2)) = 17 + -8d2

Combine like terms: -20d + 2d = -18d
(5 + -18d + -8d2) = 17 + -8d2

Add '8d2' to each side of the equation.
5 + -18d + -8d2 + 8d2 = 17 + -8d2 + 8d2

Combine like terms: -8d2 + 8d2 = 0
5 + -18d + 0 = 17 + -8d2 + 8d2
5 + -18d = 17 + -8d2 + 8d2

Combine like terms: -8d2 + 8d2 = 0
5 + -18d = 17 + 0
5 + -18d = 17

Solving
5 + -18d = 17

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -18d = 17 + -5

Combine like terms: 5 + -5 = 0
0 + -18d = 17 + -5
-18d = 17 + -5

Combine like terms: 17 + -5 = 12
-18d = 12

Divide each side by '-18'.
d = -0.6666666667

Simplifying
d = -0.6666666667

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