8m^2-16m+3=3

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Solution for 8m^2-16m+3=3 equation:


Simplifying
8m2 + -16m + 3 = 3

Reorder the terms:
3 + -16m + 8m2 = 3

Add '-3' to each side of the equation.
3 + -16m + -3 + 8m2 = 3 + -3

Reorder the terms:
3 + -3 + -16m + 8m2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -16m + 8m2 = 3 + -3
-16m + 8m2 = 3 + -3

Combine like terms: 3 + -3 = 0
-16m + 8m2 = 0

Solving
-16m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8m'.
8m(-2 + m) = 0

Ignore the factor 8.

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

Solution

m = {0, 2}

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