(5d-12)(-7+3d)=

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Solution for (5d-12)(-7+3d)= equation: 


Simplifying
(5d + -12)(-7 + 3d) = 0

Reorder the terms:
(-12 + 5d)(-7 + 3d) = 0

Multiply (-12 + 5d) * (-7 + 3d)
(-12(-7 + 3d) + 5d * (-7 + 3d)) = 0
((-7 * -12 + 3d * -12) + 5d * (-7 + 3d)) = 0
((84 + -36d) + 5d * (-7 + 3d)) = 0
(84 + -36d + (-7 * 5d + 3d * 5d)) = 0
(84 + -36d + (-35d + 15d2)) = 0

Combine like terms: -36d + -35d = -71d
(84 + -71d + 15d2) = 0

Solving
84 + -71d + 15d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(7 + -3d)(12 + -5d) = 0


Subproblem 1
Set the factor '(7 + -3d)' equal to zero and attempt to solve:

Simplifying
7 + -3d = 0

Solving
7 + -3d = 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 + -3d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3d = 0 + -7
-3d = 0 + -7

Combine like terms: 0 + -7 = -7
-3d = -7

Divide each side by '-3'.
d = 2.333333333

Simplifying
d = 2.333333333

Subproblem 2
Set the factor '(12 + -5d)' equal to zero and attempt to solve:

Simplifying
12 + -5d = 0

Solving
12 + -5d = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5d = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5d = 0 + -12
-5d = 0 + -12

Combine like terms: 0 + -12 = -12
-5d = -12

Divide each side by '-5'.
d = 2.4

Simplifying
d = 2.4
Solution
d = {2.333333333, 2.4}

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