x^2+(3k+5)x=3

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Solution for x^2+(3k+5)x=3 equation:


Simplifying
x2 + (3k + 5) * x = 3

Reorder the terms:
x2 + (5 + 3k) * x = 3

Reorder the terms for easier multiplication:
x2 + x(5 + 3k) = 3
x2 + (5 * x + 3k * x) = 3

Reorder the terms:
x2 + (3kx + 5x) = 3
x2 + (3kx + 5x) = 3

Reorder the terms:
3kx + 5x + x2 = 3

Solving
3kx + 5x + x2 = 3

Solving for variable 'k'.

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

Add '-5x' to each side of the equation.
3kx + 5x + -5x + x2 = 3 + -5x

Combine like terms: 5x + -5x = 0
3kx + 0 + x2 = 3 + -5x
3kx + x2 = 3 + -5x

Add '-1x2' to each side of the equation.
3kx + x2 + -1x2 = 3 + -5x + -1x2

Combine like terms: x2 + -1x2 = 0
3kx + 0 = 3 + -5x + -1x2
3kx = 3 + -5x + -1x2

Divide each side by '3x'.
k = x-1 + -1.666666667 + -0.3333333333x

Simplifying
k = x-1 + -1.666666667 + -0.3333333333x

Reorder the terms:
k = -1.666666667 + x-1 + -0.3333333333x

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