4x^2-(p-2)x+(p+3)=0

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Solution for 4x^2-(p-2)x+(p+3)=0 equation:


Simplifying
4x2 + -1(p + -2) * x + (p + 3) = 0

Reorder the terms:
4x2 + -1(-2 + p) * x + (p + 3) = 0

Reorder the terms for easier multiplication:
4x2 + -1x(-2 + p) + (p + 3) = 0
4x2 + (-2 * -1x + p * -1x) + (p + 3) = 0

Reorder the terms:
4x2 + (-1px + 2x) + (p + 3) = 0
4x2 + (-1px + 2x) + (p + 3) = 0

Reorder the terms:
4x2 + -1px + 2x + (3 + p) = 0

Remove parenthesis around (3 + p)
4x2 + -1px + 2x + 3 + p = 0

Reorder the terms:
3 + p + -1px + 2x + 4x2 = 0

Solving
3 + p + -1px + 2x + 4x2 = 0

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + p + -1px + 2x + -3 + 4x2 = 0 + -3

Reorder the terms:
3 + -3 + p + -1px + 2x + 4x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p + -1px + 2x + 4x2 = 0 + -3
p + -1px + 2x + 4x2 = 0 + -3

Combine like terms: 0 + -3 = -3
p + -1px + 2x + 4x2 = -3

Add '-2x' to each side of the equation.
p + -1px + 2x + -2x + 4x2 = -3 + -2x

Combine like terms: 2x + -2x = 0
p + -1px + 0 + 4x2 = -3 + -2x
p + -1px + 4x2 = -3 + -2x

Add '-4x2' to each side of the equation.
p + -1px + 4x2 + -4x2 = -3 + -2x + -4x2

Combine like terms: 4x2 + -4x2 = 0
p + -1px + 0 = -3 + -2x + -4x2
p + -1px = -3 + -2x + -4x2

Reorder the terms:
3 + p + -1px + 2x + 4x2 = -3 + -2x + -4x2 + 3 + 2x + 4x2

Reorder the terms:
3 + p + -1px + 2x + 4x2 = -3 + 3 + -2x + 2x + -4x2 + 4x2

Combine like terms: -3 + 3 = 0
3 + p + -1px + 2x + 4x2 = 0 + -2x + 2x + -4x2 + 4x2
3 + p + -1px + 2x + 4x2 = -2x + 2x + -4x2 + 4x2

Combine like terms: -2x + 2x = 0
3 + p + -1px + 2x + 4x2 = 0 + -4x2 + 4x2
3 + p + -1px + 2x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
3 + p + -1px + 2x + 4x2 = 0

The solution to this equation could not be determined.

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