(m^2q+5)(-2m^2q+7)=

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Solution for (m^2q+5)(-2m^2q+7)= equation: 


Simplifying
(m2q + 5)(-2m2q + 7) = 0

Reorder the terms:
(5 + m2q)(-2m2q + 7) = 0

Reorder the terms:
(5 + m2q)(7 + -2m2q) = 0

Multiply (5 + m2q) * (7 + -2m2q)
(5(7 + -2m2q) + m2q(7 + -2m2q)) = 0
((7 * 5 + -2m2q * 5) + m2q(7 + -2m2q)) = 0
((35 + -10m2q) + m2q(7 + -2m2q)) = 0
(35 + -10m2q + (7 * m2q + -2m2q * m2q)) = 0
(35 + -10m2q + (7m2q + -2m4q2)) = 0

Combine like terms: -10m2q + 7m2q = -3m2q
(35 + -3m2q + -2m4q2) = 0

Solving
35 + -3m2q + -2m4q2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -2m2q)(5 + m2q) = 0


Subproblem 1
Set the factor '(7 + -2m2q)' equal to zero and attempt to solve:

Simplifying
7 + -2m2q = 0

Solving
7 + -2m2q = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2m2q = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m2q = 0 + -7
-2m2q = 0 + -7

Combine like terms: 0 + -7 = -7
-2m2q = -7

Divide each side by '-2q'.
m2 = 3.5q-1

Simplifying
m2 = 3.5q-1

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 '(5 + m2q)' equal to zero and attempt to solve:

Simplifying
5 + m2q = 0

Solving
5 + m2q = 0

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

Add '-5' to each side of the equation.
5 + -5 + m2q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m2q = 0 + -5
m2q = 0 + -5

Combine like terms: 0 + -5 = -5
m2q = -5

Divide each side by 'q'.
m2 = -5q-1

Simplifying
m2 = -5q-1

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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