5x^2-7x+m=0

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Solution for 5x^2-7x+m=0 equation: 


Simplifying
5x2 + -7x + m = 0

Reorder the terms:
m + -7x + 5x2 = 0

Solving
m + -7x + 5x2 = 0

Solving for variable 'm'.

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

Add '7x' to each side of the equation.
m + -7x + 7x + 5x2 = 0 + 7x

Combine like terms: -7x + 7x = 0
m + 0 + 5x2 = 0 + 7x
m + 5x2 = 0 + 7x
Remove the zero:
m + 5x2 = 7x

Add '-5x2' to each side of the equation.
m + 5x2 + -5x2 = 7x + -5x2

Combine like terms: 5x2 + -5x2 = 0
m + 0 = 7x + -5x2
m = 7x + -5x2

Simplifying
m = 7x + -5x2

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