2m^2-20=2m-60

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Solution for 2m^2-20=2m-60 equation:


Simplifying
2m2 + -20 = 2m + -60

Reorder the terms:
-20 + 2m2 = 2m + -60

Reorder the terms:
-20 + 2m2 = -60 + 2m

Solving
-20 + 2m2 = -60 + 2m

Solving for variable 'm'.

Reorder the terms:
-20 + 60 + -2m + 2m2 = -60 + 2m + 60 + -2m

Combine like terms: -20 + 60 = 40
40 + -2m + 2m2 = -60 + 2m + 60 + -2m

Reorder the terms:
40 + -2m + 2m2 = -60 + 60 + 2m + -2m

Combine like terms: -60 + 60 = 0
40 + -2m + 2m2 = 0 + 2m + -2m
40 + -2m + 2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
40 + -2m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -1m + m2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(20 + -1m + m2)' equal to zero and attempt to solve: Simplifying 20 + -1m + m2 = 0 Solving 20 + -1m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1m + -20 + m2 = 0 + -20 Reorder the terms: 20 + -20 + -1m + m2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1m + m2 = 0 + -20 -1m + m2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1m + m2 = -20 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 = -20 + 0.25 Reorder the terms: 0.25 + -1m + m2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + -1m + m2 = -19.75 Factor a perfect square on the left side: (m + -0.5)(m + -0.5) = -19.75 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.

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