15a^2-6d-5=0

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Solution for 15a^2-6d-5=0 equation:


Simplifying
15a2 + -6d + -5 = 0

Reorder the terms:
-5 + 15a2 + -6d = 0

Solving
-5 + 15a2 + -6d = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 15a2 + 5 + -6d = 0 + 5

Reorder the terms:
-5 + 5 + 15a2 + -6d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 15a2 + -6d = 0 + 5
15a2 + -6d = 0 + 5

Combine like terms: 0 + 5 = 5
15a2 + -6d = 5

Add '6d' to each side of the equation.
15a2 + -6d + 6d = 5 + 6d

Combine like terms: -6d + 6d = 0
15a2 + 0 = 5 + 6d
15a2 = 5 + 6d

Divide each side by '15'.
a2 = 0.3333333333 + 0.4d

Simplifying
a2 = 0.3333333333 + 0.4d

Reorder the terms:
-0.3333333333 + a2 + -0.4d = 0.3333333333 + 0.4d + -0.3333333333 + -0.4d

Reorder the terms:
-0.3333333333 + a2 + -0.4d = 0.3333333333 + -0.3333333333 + 0.4d + -0.4d

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
-0.3333333333 + a2 + -0.4d = 0.0000000000 + 0.4d + -0.4d
-0.3333333333 + a2 + -0.4d = 0.4d + -0.4d

Combine like terms: 0.4d + -0.4d = 0.0
-0.3333333333 + a2 + -0.4d = 0.0

The solution to this equation could not be determined.

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