4m^2=-21m

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Solution for 4m^2=-21m equation:


Simplifying
4m2 = -21m

Solving
4m2 = -21m

Solving for variable 'm'.

Reorder the terms:
21m + 4m2 = -21m + 21m

Combine like terms: -21m + 21m = 0
21m + 4m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(21 + 4m) = 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 '(21 + 4m)' equal to zero and attempt to solve: Simplifying 21 + 4m = 0 Solving 21 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4m = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4m = 0 + -21 4m = 0 + -21 Combine like terms: 0 + -21 = -21 4m = -21 Divide each side by '4'. m = -5.25 Simplifying m = -5.25

Solution

m = {0, -5.25}

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