(d+7)(9d-4)=0

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Solution for (d+7)(9d-4)=0 equation: 


Simplifying
(d + 7)(9d + -4) = 0

Reorder the terms:
(7 + d)(9d + -4) = 0

Reorder the terms:
(7 + d)(-4 + 9d) = 0

Multiply (7 + d) * (-4 + 9d)
(7(-4 + 9d) + d(-4 + 9d)) = 0
((-4 * 7 + 9d * 7) + d(-4 + 9d)) = 0
((-28 + 63d) + d(-4 + 9d)) = 0
(-28 + 63d + (-4 * d + 9d * d)) = 0
(-28 + 63d + (-4d + 9d2)) = 0

Combine like terms: 63d + -4d = 59d
(-28 + 59d + 9d2) = 0

Solving
-28 + 59d + 9d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-7 + -1d)(4 + -9d) = 0


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

Simplifying
-7 + -1d = 0

Solving
-7 + -1d = 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 + -1d = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1d = 0 + 7
-1d = 0 + 7

Combine like terms: 0 + 7 = 7
-1d = 7

Divide each side by '-1'.
d = -7

Simplifying
d = -7

Subproblem 2
Set the factor '(4 + -9d)' equal to zero and attempt to solve:

Simplifying
4 + -9d = 0

Solving
4 + -9d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9d = 0 + -4
-9d = 0 + -4

Combine like terms: 0 + -4 = -4
-9d = -4

Divide each side by '-9'.
d = 0.4444444444

Simplifying
d = 0.4444444444
Solution
d = {-7, 0.4444444444}

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