-21=6m^2+25m

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Solution for -21=6m^2+25m equation:


Simplifying
-21 = 6m2 + 25m

Reorder the terms:
-21 = 25m + 6m2

Solving
-21 = 25m + 6m2

Solving for variable 'm'.

Reorder the terms:
-21 + -25m + -6m2 = 25m + -25m + 6m2 + -6m2

Combine like terms: 25m + -25m = 0
-21 + -25m + -6m2 = 0 + 6m2 + -6m2
-21 + -25m + -6m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
-21 + -25m + -6m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 25m + 6m2) = 0

Factor a trinomial.
-1((3 + m)(7 + 6m)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3

Subproblem 2

Set the factor '(7 + 6m)' equal to zero and attempt to solve: Simplifying 7 + 6m = 0 Solving 7 + 6m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6m = 0 + -7 6m = 0 + -7 Combine like terms: 0 + -7 = -7 6m = -7 Divide each side by '6'. m = -1.166666667 Simplifying m = -1.166666667

Solution

m = {-3, -1.166666667}

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