8m^2q-2mq+15q=0

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Solution for 8m^2q-2mq+15q=0 equation: 


Simplifying
8m2q + -2mq + 15q = 0

Reorder the terms:
-2mq + 8m2q + 15q = 0

Solving
-2mq + 8m2q + 15q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-2m + 8m2 + 15) = 0


Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Add '-1q' to each side of the equation.
q + -1q = 0 + -1q
Remove the zero:
0 = -1q

Simplifying
0 = -1q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2m + 8m2 + 15)' equal to zero and attempt to solve:

Simplifying
-2m + 8m2 + 15 = 0

Reorder the terms:
15 + -2m + 8m2 = 0

Solving
15 + -2m + 8m2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
1.875 + -0.25m + m2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + -0.25m + -1.875 + m2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + -0.25m + m2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + -0.25m + m2 = 0 + -1.875
-0.25m + m2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
-0.25m + m2 = -1.875

The m term is -0.25m.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25m + 0.015625 + m2 = -1.875 + 0.015625

Reorder the terms:
0.015625 + -0.25m + m2 = -1.875 + 0.015625

Combine like terms: -1.875 + 0.015625 = -1.859375
0.015625 + -0.25m + m2 = -1.859375

Factor a perfect square on the left side:
(m + -0.125)(m + -0.125) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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