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

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


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

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

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

Reorder the terms:
(2px2 + 1x2) + (7 + -7p) * x + 5p + -2 = 0
(2px2 + 1x2) + (7 + -7p) * x + 5p + -2 = 0

Reorder the terms for easier multiplication:
2px2 + 1x2 + x(7 + -7p) + 5p + -2 = 0
2px2 + 1x2 + (7 * x + -7p * x) + 5p + -2 = 0

Reorder the terms:
2px2 + 1x2 + (-7px + 7x) + 5p + -2 = 0
2px2 + 1x2 + (-7px + 7x) + 5p + -2 = 0

Reorder the terms:
-2 + 5p + -7px + 2px2 + 7x + 1x2 = 0

Solving
-2 + 5p + -7px + 2px2 + 7x + 1x2 = 0

Solving for variable 'p'.

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

Add '2' to each side of the equation.
-2 + 5p + -7px + 2px2 + 7x + 2 + 1x2 = 0 + 2

Reorder the terms:
-2 + 2 + 5p + -7px + 2px2 + 7x + 1x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5p + -7px + 2px2 + 7x + 1x2 = 0 + 2
5p + -7px + 2px2 + 7x + 1x2 = 0 + 2

Combine like terms: 0 + 2 = 2
5p + -7px + 2px2 + 7x + 1x2 = 2

Add '-7x' to each side of the equation.
5p + -7px + 2px2 + 7x + -7x + 1x2 = 2 + -7x

Combine like terms: 7x + -7x = 0
5p + -7px + 2px2 + 0 + 1x2 = 2 + -7x
5p + -7px + 2px2 + 1x2 = 2 + -7x

Add '-1x2' to each side of the equation.
5p + -7px + 2px2 + 1x2 + -1x2 = 2 + -7x + -1x2

Combine like terms: 1x2 + -1x2 = 0
5p + -7px + 2px2 + 0 = 2 + -7x + -1x2
5p + -7px + 2px2 = 2 + -7x + -1x2

Reorder the terms:
-2 + 5p + -7px + 2px2 + 7x + x2 = 2 + -7x + -1x2 + -2 + 7x + x2

Reorder the terms:
-2 + 5p + -7px + 2px2 + 7x + x2 = 2 + -2 + -7x + 7x + -1x2 + x2

Combine like terms: 2 + -2 = 0
-2 + 5p + -7px + 2px2 + 7x + x2 = 0 + -7x + 7x + -1x2 + x2
-2 + 5p + -7px + 2px2 + 7x + x2 = -7x + 7x + -1x2 + x2

Combine like terms: -7x + 7x = 0
-2 + 5p + -7px + 2px2 + 7x + x2 = 0 + -1x2 + x2
-2 + 5p + -7px + 2px2 + 7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + 5p + -7px + 2px2 + 7x + x2 = 0

The solution to this equation could not be determined.

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