2M^2-M+5=5

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Solution for 2M^2-M+5=5 equation:


Simplifying
2M2 + -1M + 5 = 5

Reorder the terms:
5 + -1M + 2M2 = 5

Add '-5' to each side of the equation.
5 + -1M + -5 + 2M2 = 5 + -5

Reorder the terms:
5 + -5 + -1M + 2M2 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + -1M + 2M2 = 5 + -5
-1M + 2M2 = 5 + -5

Combine like terms: 5 + -5 = 0
-1M + 2M2 = 0

Solving
-1M + 2M2 = 0

Solving for variable 'M'.

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

Subproblem 1

Set the factor 'M' equal to zero and attempt to solve: Simplifying M = 0 Solving M = 0 Move all terms containing M to the left, all other terms to the right. Simplifying M = 0

Subproblem 2

Set the factor '(-1 + 2M)' equal to zero and attempt to solve: Simplifying -1 + 2M = 0 Solving -1 + 2M = 0 Move all terms containing M to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2M = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2M = 0 + 1 2M = 0 + 1 Combine like terms: 0 + 1 = 1 2M = 1 Divide each side by '2'. M = 0.5 Simplifying M = 0.5

Solution

M = {0, 0.5}

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