4m^2-21m+23=-4m+5

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Solution for 4m^2-21m+23=-4m+5 equation: 


Simplifying
4m2 + -21m + 23 = -4m + 5

Reorder the terms:
23 + -21m + 4m2 = -4m + 5

Reorder the terms:
23 + -21m + 4m2 = 5 + -4m

Solving
23 + -21m + 4m2 = 5 + -4m

Solving for variable 'm'.

Reorder the terms:
23 + -5 + -21m + 4m + 4m2 = 5 + -4m + -5 + 4m

Combine like terms: 23 + -5 = 18
18 + -21m + 4m + 4m2 = 5 + -4m + -5 + 4m

Combine like terms: -21m + 4m = -17m
18 + -17m + 4m2 = 5 + -4m + -5 + 4m

Reorder the terms:
18 + -17m + 4m2 = 5 + -5 + -4m + 4m

Combine like terms: 5 + -5 = 0
18 + -17m + 4m2 = 0 + -4m + 4m
18 + -17m + 4m2 = -4m + 4m

Combine like terms: -4m + 4m = 0
18 + -17m + 4m2 = 0

Factor a trinomial.
(2 + -1m)(9 + -4m) = 0


Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2

Subproblem 2
Set the factor '(9 + -4m)' equal to zero and attempt to solve:

Simplifying
9 + -4m = 0

Solving
9 + -4m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -4m = 0 + -9

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

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

Divide each side by '-4'.
m = 2.25

Simplifying
m = 2.25
Solution
m = {2, 2.25}

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