3x^2-10x+2k-1=0

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Solution for 3x^2-10x+2k-1=0 equation:


Simplifying
3x2 + -10x + 2k + -1 = 0

Reorder the terms:
-1 + 2k + -10x + 3x2 = 0

Solving
-1 + 2k + -10x + 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 + 2k + -10x + 1 + 3x2 = 0 + 1

Reorder the terms:
-1 + 1 + 2k + -10x + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2k + -10x + 3x2 = 0 + 1
2k + -10x + 3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2k + -10x + 3x2 = 1

Add '10x' to each side of the equation.
2k + -10x + 10x + 3x2 = 1 + 10x

Combine like terms: -10x + 10x = 0
2k + 0 + 3x2 = 1 + 10x
2k + 3x2 = 1 + 10x

Add '-3x2' to each side of the equation.
2k + 3x2 + -3x2 = 1 + 10x + -3x2

Combine like terms: 3x2 + -3x2 = 0
2k + 0 = 1 + 10x + -3x2
2k = 1 + 10x + -3x2

Divide each side by '2'.
k = 0.5 + 5x + -1.5x2

Simplifying
k = 0.5 + 5x + -1.5x2

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