21m^2-192m+192=0

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Solution for 21m^2-192m+192=0 equation:


Simplifying
21m2 + -192m + 192 = 0

Reorder the terms:
192 + -192m + 21m2 = 0

Solving
192 + -192m + 21m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(64 + -64m + 7m2) = 0

Factor a trinomial.
3((8 + -7m)(8 + -1m)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(8 + -7m)' equal to zero and attempt to solve: Simplifying 8 + -7m = 0 Solving 8 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = 0 + -8 -7m = 0 + -8 Combine like terms: 0 + -8 = -8 -7m = -8 Divide each side by '-7'. m = 1.142857143 Simplifying m = 1.142857143

Subproblem 2

Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8

Solution

m = {1.142857143, 8}

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