4m^2=28-9m

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Solution for 4m^2=28-9m equation:


Simplifying
4m2 = 28 + -9m

Solving
4m2 = 28 + -9m

Solving for variable 'm'.

Reorder the terms:
-28 + 9m + 4m2 = 28 + -9m + -28 + 9m

Reorder the terms:
-28 + 9m + 4m2 = 28 + -28 + -9m + 9m

Combine like terms: 28 + -28 = 0
-28 + 9m + 4m2 = 0 + -9m + 9m
-28 + 9m + 4m2 = -9m + 9m

Combine like terms: -9m + 9m = 0
-28 + 9m + 4m2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -4m)' equal to zero and attempt to solve: Simplifying 7 + -4m = 0 Solving 7 + -4m = 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 + -4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = 0 + -7 -4m = 0 + -7 Combine like terms: 0 + -7 = -7 -4m = -7 Divide each side by '-4'. m = 1.75 Simplifying m = 1.75

Solution

m = {-4, 1.75}

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