(d-9)(5d-7)=0

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Solution for (d-9)(5d-7)=0 equation: 


Simplifying
(d + -9)(5d + -7) = 0

Reorder the terms:
(-9 + d)(5d + -7) = 0

Reorder the terms:
(-9 + d)(-7 + 5d) = 0

Multiply (-9 + d) * (-7 + 5d)
(-9(-7 + 5d) + d(-7 + 5d)) = 0
((-7 * -9 + 5d * -9) + d(-7 + 5d)) = 0
((63 + -45d) + d(-7 + 5d)) = 0
(63 + -45d + (-7 * d + 5d * d)) = 0
(63 + -45d + (-7d + 5d2)) = 0

Combine like terms: -45d + -7d = -52d
(63 + -52d + 5d2) = 0

Solving
63 + -52d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(7 + -5d)(9 + -1d) = 0


Subproblem 1
Set the factor '(7 + -5d)' equal to zero and attempt to solve:

Simplifying
7 + -5d = 0

Solving
7 + -5d = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5d = 0 + -7
-5d = 0 + -7

Combine like terms: 0 + -7 = -7
-5d = -7

Divide each side by '-5'.
d = 1.4

Simplifying
d = 1.4

Subproblem 2
Set the factor '(9 + -1d)' equal to zero and attempt to solve:

Simplifying
9 + -1d = 0

Solving
9 + -1d = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1d = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1d = 0 + -9
-1d = 0 + -9

Combine like terms: 0 + -9 = -9
-1d = -9

Divide each side by '-1'.
d = 9

Simplifying
d = 9
Solution
d = {1.4, 9}

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