(5d-7)(7d+2)=0

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Solution for (5d-7)(7d+2)=0 equation: 


Simplifying
(5d + -7)(7d + 2) = 0

Reorder the terms:
(-7 + 5d)(7d + 2) = 0

Reorder the terms:
(-7 + 5d)(2 + 7d) = 0

Multiply (-7 + 5d) * (2 + 7d)
(-7(2 + 7d) + 5d * (2 + 7d)) = 0
((2 * -7 + 7d * -7) + 5d * (2 + 7d)) = 0
((-14 + -49d) + 5d * (2 + 7d)) = 0
(-14 + -49d + (2 * 5d + 7d * 5d)) = 0
(-14 + -49d + (10d + 35d2)) = 0

Combine like terms: -49d + 10d = -39d
(-14 + -39d + 35d2) = 0

Solving
-14 + -39d + 35d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-2 + -7d)(7 + -5d) = 0


Subproblem 1
Set the factor '(-2 + -7d)' equal to zero and attempt to solve:

Simplifying
-2 + -7d = 0

Solving
-2 + -7d = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7d = 0 + 2
-7d = 0 + 2

Combine like terms: 0 + 2 = 2
-7d = 2

Divide each side by '-7'.
d = -0.2857142857

Simplifying
d = -0.2857142857

Subproblem 2
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
Solution
d = {-0.2857142857, 1.4}

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