(4d-10)(5d-8)=0

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Solution for (4d-10)(5d-8)=0 equation:


Simplifying
(4d + -10)(5d + -8) = 0

Reorder the terms:
(-10 + 4d)(5d + -8) = 0

Reorder the terms:
(-10 + 4d)(-8 + 5d) = 0

Multiply (-10 + 4d) * (-8 + 5d)
(-10(-8 + 5d) + 4d * (-8 + 5d)) = 0
((-8 * -10 + 5d * -10) + 4d * (-8 + 5d)) = 0
((80 + -50d) + 4d * (-8 + 5d)) = 0
(80 + -50d + (-8 * 4d + 5d * 4d)) = 0
(80 + -50d + (-32d + 20d2)) = 0

Combine like terms: -50d + -32d = -82d
(80 + -82d + 20d2) = 0

Solving
80 + -82d + 20d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -41d + 10d2) = 0

Factor a trinomial.
2((8 + -5d)(5 + -2d)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -5d)' equal to zero and attempt to solve:

Simplifying
8 + -5d = 0

Solving
8 + -5d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5d = 0 + -8
-5d = 0 + -8

Combine like terms: 0 + -8 = -8
-5d = -8

Divide each side by '-5'.
d = 1.6

Simplifying
d = 1.6

Subproblem 2
Set the factor '(5 + -2d)' equal to zero and attempt to solve:

Simplifying
5 + -2d = 0

Solving
5 + -2d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2d = 0 + -5
-2d = 0 + -5

Combine like terms: 0 + -5 = -5
-2d = -5

Divide each side by '-2'.
d = 2.5

Simplifying
d = 2.5
Solution
d = {1.6, 2.5}

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