7x^2+(2k+5)x-5k+1=0

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Solution for 7x^2+(2k+5)x-5k+1=0 equation: 


Simplifying
7x2 + (2k + 5) * x + -5k + 1 = 0

Reorder the terms:
7x2 + (5 + 2k) * x + -5k + 1 = 0

Reorder the terms for easier multiplication:
7x2 + x(5 + 2k) + -5k + 1 = 0
7x2 + (5 * x + 2k * x) + -5k + 1 = 0

Reorder the terms:
7x2 + (2kx + 5x) + -5k + 1 = 0
7x2 + (2kx + 5x) + -5k + 1 = 0

Reorder the terms:
1 + -5k + 2kx + 5x + 7x2 = 0

Solving
1 + -5k + 2kx + 5x + 7x2 = 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 + -5k + 2kx + 5x + -1 + 7x2 = 0 + -1

Reorder the terms:
1 + -1 + -5k + 2kx + 5x + 7x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5k + 2kx + 5x + 7x2 = 0 + -1
-5k + 2kx + 5x + 7x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-5k + 2kx + 5x + 7x2 = -1

Add '-5x' to each side of the equation.
-5k + 2kx + 5x + -5x + 7x2 = -1 + -5x

Combine like terms: 5x + -5x = 0
-5k + 2kx + 0 + 7x2 = -1 + -5x
-5k + 2kx + 7x2 = -1 + -5x

Add '-7x2' to each side of the equation.
-5k + 2kx + 7x2 + -7x2 = -1 + -5x + -7x2

Combine like terms: 7x2 + -7x2 = 0
-5k + 2kx + 0 = -1 + -5x + -7x2
-5k + 2kx = -1 + -5x + -7x2

Reorder the terms:
1 + -5k + 2kx + 5x + 7x2 = -1 + -5x + -7x2 + 1 + 5x + 7x2

Reorder the terms:
1 + -5k + 2kx + 5x + 7x2 = -1 + 1 + -5x + 5x + -7x2 + 7x2

Combine like terms: -1 + 1 = 0
1 + -5k + 2kx + 5x + 7x2 = 0 + -5x + 5x + -7x2 + 7x2
1 + -5k + 2kx + 5x + 7x2 = -5x + 5x + -7x2 + 7x2

Combine like terms: -5x + 5x = 0
1 + -5k + 2kx + 5x + 7x2 = 0 + -7x2 + 7x2
1 + -5k + 2kx + 5x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
1 + -5k + 2kx + 5x + 7x2 = 0

The solution to this equation could not be determined.

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