2x^2-4x+k-3=0

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Solution for 2x^2-4x+k-3=0 equation:


Simplifying
2x2 + -4x + k + -3 = 0

Reorder the terms:
-3 + k + -4x + 2x2 = 0

Solving
-3 + k + -4x + 2x2 = 0

Solving for variable 'k'.

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

Add '3' to each side of the equation.
-3 + k + -4x + 3 + 2x2 = 0 + 3

Reorder the terms:
-3 + 3 + k + -4x + 2x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + k + -4x + 2x2 = 0 + 3
k + -4x + 2x2 = 0 + 3

Combine like terms: 0 + 3 = 3
k + -4x + 2x2 = 3

Add '4x' to each side of the equation.
k + -4x + 4x + 2x2 = 3 + 4x

Combine like terms: -4x + 4x = 0
k + 0 + 2x2 = 3 + 4x
k + 2x2 = 3 + 4x

Add '-2x2' to each side of the equation.
k + 2x2 + -2x2 = 3 + 4x + -2x2

Combine like terms: 2x2 + -2x2 = 0
k + 0 = 3 + 4x + -2x2
k = 3 + 4x + -2x2

Simplifying
k = 3 + 4x + -2x2

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