4x^2-6x+k=0

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Solution for 4x^2-6x+k=0 equation:


Simplifying
4x2 + -6x + k = 0

Reorder the terms:
k + -6x + 4x2 = 0

Solving
k + -6x + 4x2 = 0

Solving for variable 'k'.

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

Add '6x' to each side of the equation.
k + -6x + 6x + 4x2 = 0 + 6x

Combine like terms: -6x + 6x = 0
k + 0 + 4x2 = 0 + 6x
k + 4x2 = 0 + 6x
Remove the zero:
k + 4x2 = 6x

Add '-4x2' to each side of the equation.
k + 4x2 + -4x2 = 6x + -4x2

Combine like terms: 4x2 + -4x2 = 0
k + 0 = 6x + -4x2
k = 6x + -4x2

Simplifying
k = 6x + -4x2

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