(p+3)x^2-6x+2=0

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Solution for (p+3)x^2-6x+2=0 equation:


Simplifying
(p + 3) * x2 + -6x + 2 = 0

Reorder the terms:
(3 + p) * x2 + -6x + 2 = 0

Reorder the terms for easier multiplication:
x2(3 + p) + -6x + 2 = 0
(3 * x2 + p * x2) + -6x + 2 = 0

Reorder the terms:
(px2 + 3x2) + -6x + 2 = 0
(px2 + 3x2) + -6x + 2 = 0

Reorder the terms:
2 + px2 + -6x + 3x2 = 0

Solving
2 + px2 + -6x + 3x2 = 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 + px2 + -6x + -2 + 3x2 = 0 + -2

Reorder the terms:
2 + -2 + px2 + -6x + 3x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + px2 + -6x + 3x2 = 0 + -2
px2 + -6x + 3x2 = 0 + -2

Combine like terms: 0 + -2 = -2
px2 + -6x + 3x2 = -2

Add '6x' to each side of the equation.
px2 + -6x + 6x + 3x2 = -2 + 6x

Combine like terms: -6x + 6x = 0
px2 + 0 + 3x2 = -2 + 6x
px2 + 3x2 = -2 + 6x

Add '-3x2' to each side of the equation.
px2 + 3x2 + -3x2 = -2 + 6x + -3x2

Combine like terms: 3x2 + -3x2 = 0
px2 + 0 = -2 + 6x + -3x2
px2 = -2 + 6x + -3x2

Divide each side by 'x2'.
p = -2x-2 + 6x-1 + -3

Simplifying
p = -2x-2 + 6x-1 + -3

Reorder the terms:
p = -3 + -2x-2 + 6x-1

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