M^4-7m^2+6m=0

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Solution for M^4-7m^2+6m=0 equation:


Simplifying
M4 + -7m2 + 6m = 0

Reorder the terms:
M4 + 6m + -7m2 = 0

Solving
M4 + 6m + -7m2 = 0

Solving for variable 'M'.

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

Add '-6m' to each side of the equation.
M4 + 6m + -6m + -7m2 = 0 + -6m

Combine like terms: 6m + -6m = 0
M4 + 0 + -7m2 = 0 + -6m
M4 + -7m2 = 0 + -6m
Remove the zero:
M4 + -7m2 = -6m

Add '7m2' to each side of the equation.
M4 + -7m2 + 7m2 = -6m + 7m2

Combine like terms: -7m2 + 7m2 = 0
M4 + 0 = -6m + 7m2
M4 = -6m + 7m2

Simplifying
M4 = -6m + 7m2

Reorder the terms:
M4 + 6m + -7m2 = -6m + 6m + 7m2 + -7m2

Combine like terms: -6m + 6m = 0
M4 + 6m + -7m2 = 0 + 7m2 + -7m2
M4 + 6m + -7m2 = 7m2 + -7m2

Combine like terms: 7m2 + -7m2 = 0
M4 + 6m + -7m2 = 0

Factor a trinomial.
(M2 + -1m)(M2 + 7m) = 0

Subproblem 1

Set the factor '(M2 + -1m)' equal to zero and attempt to solve: Simplifying M2 + -1m = 0 Solving M2 + -1m = 0 Move all terms containing M to the left, all other terms to the right. Add 'm' to each side of the equation. M2 + -1m + m = 0 + m Combine like terms: -1m + m = 0 M2 + 0 = 0 + m M2 = 0 + m Remove the zero: M2 = m Simplifying M2 = m 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 '(M2 + 7m)' equal to zero and attempt to solve: Simplifying M2 + 7m = 0 Solving M2 + 7m = 0 Move all terms containing M to the left, all other terms to the right. Add '-7m' to each side of the equation. M2 + 7m + -7m = 0 + -7m Combine like terms: 7m + -7m = 0 M2 + 0 = 0 + -7m M2 = 0 + -7m Remove the zero: M2 = -7m Simplifying M2 = -7m 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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