5x^2-4x+k=0

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Solution for 5x^2-4x+k=0 equation:


Simplifying
5x2 + -4x + k = 0

Reorder the terms:
k + -4x + 5x2 = 0

Solving
k + -4x + 5x2 = 0

Solving for variable 'k'.

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

Add '4x' to each side of the equation.
k + -4x + 4x + 5x2 = 0 + 4x

Combine like terms: -4x + 4x = 0
k + 0 + 5x2 = 0 + 4x
k + 5x2 = 0 + 4x
Remove the zero:
k + 5x2 = 4x

Add '-5x2' to each side of the equation.
k + 5x2 + -5x2 = 4x + -5x2

Combine like terms: 5x2 + -5x2 = 0
k + 0 = 4x + -5x2
k = 4x + -5x2

Simplifying
k = 4x + -5x2

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