3x^2+4k+1=0

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Solution for 3x^2+4k+1=0 equation:


Simplifying
3x2 + 4k + 1 = 0

Reorder the terms:
1 + 4k + 3x2 = 0

Solving
1 + 4k + 3x2 = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + 4k + -1 + 3x2 = 0 + -1

Reorder the terms:
1 + -1 + 4k + 3x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4k + 3x2 = 0 + -1
4k + 3x2 = 0 + -1

Combine like terms: 0 + -1 = -1
4k + 3x2 = -1

Add '-3x2' to each side of the equation.
4k + 3x2 + -3x2 = -1 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4k + 0 = -1 + -3x2
4k = -1 + -3x2

Divide each side by '4'.
k = -0.25 + -0.75x2

Simplifying
k = -0.25 + -0.75x2

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