4z^2-5z+(m-3)=0

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Solution for 4z^2-5z+(m-3)=0 equation:


Simplifying
4z2 + -5z + (m + -3) = 0

Reorder the terms:
4z2 + -5z + (-3 + m) = 0

Remove parenthesis around (-3 + m)
4z2 + -5z + -3 + m = 0

Reorder the terms:
-3 + m + -5z + 4z2 = 0

Solving
-3 + m + -5z + 4z2 = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + m + -5z + 3 + 4z2 = 0 + 3

Reorder the terms:
-3 + 3 + m + -5z + 4z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + m + -5z + 4z2 = 0 + 3
m + -5z + 4z2 = 0 + 3

Combine like terms: 0 + 3 = 3
m + -5z + 4z2 = 3

Add '5z' to each side of the equation.
m + -5z + 5z + 4z2 = 3 + 5z

Combine like terms: -5z + 5z = 0
m + 0 + 4z2 = 3 + 5z
m + 4z2 = 3 + 5z

Add '-4z2' to each side of the equation.
m + 4z2 + -4z2 = 3 + 5z + -4z2

Combine like terms: 4z2 + -4z2 = 0
m + 0 = 3 + 5z + -4z2
m = 3 + 5z + -4z2

Simplifying
m = 3 + 5z + -4z2

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