(5k+7)x^2+(5k+10)x+3k+5=0

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Solution for (5k+7)x^2+(5k+10)x+3k+5=0 equation: 


Simplifying
(5k + 7) * x2 + (5k + 10) * x + 3k + 5 = 0

Reorder the terms:
(7 + 5k) * x2 + (5k + 10) * x + 3k + 5 = 0

Reorder the terms for easier multiplication:
x2(7 + 5k) + (5k + 10) * x + 3k + 5 = 0
(7 * x2 + 5k * x2) + (5k + 10) * x + 3k + 5 = 0

Reorder the terms:
(5kx2 + 7x2) + (5k + 10) * x + 3k + 5 = 0
(5kx2 + 7x2) + (5k + 10) * x + 3k + 5 = 0

Reorder the terms:
5kx2 + 7x2 + (10 + 5k) * x + 3k + 5 = 0

Reorder the terms for easier multiplication:
5kx2 + 7x2 + x(10 + 5k) + 3k + 5 = 0
5kx2 + 7x2 + (10 * x + 5k * x) + 3k + 5 = 0

Reorder the terms:
5kx2 + 7x2 + (5kx + 10x) + 3k + 5 = 0
5kx2 + 7x2 + (5kx + 10x) + 3k + 5 = 0

Reorder the terms:
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = 0

Solving
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = 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 + 3k + 5kx + 5kx2 + 10x + -5 + 7x2 = 0 + -5

Reorder the terms:
5 + -5 + 3k + 5kx + 5kx2 + 10x + 7x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3k + 5kx + 5kx2 + 10x + 7x2 = 0 + -5
3k + 5kx + 5kx2 + 10x + 7x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3k + 5kx + 5kx2 + 10x + 7x2 = -5

Add '-10x' to each side of the equation.
3k + 5kx + 5kx2 + 10x + -10x + 7x2 = -5 + -10x

Combine like terms: 10x + -10x = 0
3k + 5kx + 5kx2 + 0 + 7x2 = -5 + -10x
3k + 5kx + 5kx2 + 7x2 = -5 + -10x

Add '-7x2' to each side of the equation.
3k + 5kx + 5kx2 + 7x2 + -7x2 = -5 + -10x + -7x2

Combine like terms: 7x2 + -7x2 = 0
3k + 5kx + 5kx2 + 0 = -5 + -10x + -7x2
3k + 5kx + 5kx2 = -5 + -10x + -7x2

Reorder the terms:
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = -5 + -10x + -7x2 + 5 + 10x + 7x2

Reorder the terms:
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = -5 + 5 + -10x + 10x + -7x2 + 7x2

Combine like terms: -5 + 5 = 0
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = 0 + -10x + 10x + -7x2 + 7x2
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = -10x + 10x + -7x2 + 7x2

Combine like terms: -10x + 10x = 0
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = 0 + -7x2 + 7x2
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
5 + 3k + 5kx + 5kx2 + 10x + 7x2 = 0

The solution to this equation could not be determined.

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