7m^2-21m-28=

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Solution for 7m^2-21m-28= equation:


Simplifying
7m2 + -21m + -28 = 0

Reorder the terms:
-28 + -21m + 7m2 = 0

Solving
-28 + -21m + 7m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-4 + -3m + m2) = 0

Factor a trinomial.
7((-1 + -1m)(4 + -1m)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 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 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1

Subproblem 2

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {-1, 4}

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