x^2+kx-3x+5=0

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Solution for x^2+kx-3x+5=0 equation:


Simplifying
x2 + kx + -3x + 5 = 0

Reorder the terms:
5 + kx + -3x + x2 = 0

Solving
5 + kx + -3x + x2 = 0

Solving for variable 'k'.

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

Add '-5' to each side of the equation.
5 + kx + -3x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + kx + -3x + x2 = 0 + -5

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

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

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

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

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

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

Divide each side by 'x'.
k = -5x-1 + 3 + -1x

Simplifying
k = -5x-1 + 3 + -1x

Reorder the terms:
k = 3 + -5x-1 + -1x

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