2m^2-3=2m-5

Solution for 2m^2-3=2m-5 equation:

Simplifying
2m2 + -3 = 2m + -5

Reorder the terms:
-3 + 2m2 = 2m + -5

Reorder the terms:
-3 + 2m2 = -5 + 2m

Solving
-3 + 2m2 = -5 + 2m

Solving for variable 'm'.

Reorder the terms:
-3 + 5 + -2m + 2m2 = -5 + 2m + 5 + -2m

Combine like terms: -3 + 5 = 2
2 + -2m + 2m2 = -5 + 2m + 5 + -2m

Reorder the terms:
2 + -2m + 2m2 = -5 + 5 + 2m + -2m

Combine like terms: -5 + 5 = 0
2 + -2m + 2m2 = 0 + 2m + -2m
2 + -2m + 2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
2 + -2m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1m + m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1m + m2)' equal to zero and attempt to solve:

Simplifying
1 + -1m + m2 = 0

Solving
1 + -1m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1m + -1 + m2 = 0 + -1

Reorder the terms:
1 + -1 + -1m + m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1m + m2 = 0 + -1
-1m + m2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1m + m2 = -1

The m term is -1m.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1m + 0.25 + m2 = -1 + 0.25

Reorder the terms:
0.25 + -1m + m2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1m + m2 = -0.75

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = -0.75

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.