4d^2+23d-35=0

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Solution for 4d^2+23d-35=0 equation: 


Simplifying
4d2 + 23d + -35 = 0

Reorder the terms:
-35 + 23d + 4d2 = 0

Solving
-35 + 23d + 4d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-7 + -1d)(5 + -4d) = 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 '(5 + -4d)' equal to zero and attempt to solve:

Simplifying
5 + -4d = 0

Solving
5 + -4d = 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 + -4d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4d = 0 + -5
-4d = 0 + -5

Combine like terms: 0 + -5 = -5
-4d = -5

Divide each side by '-4'.
d = 1.25

Simplifying
d = 1.25
Solution
d = {-7, 1.25}

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