(3x-1)(x+p)=3x^2+qx-2

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Solution for (3x-1)(x+p)=3x^2+qx-2 equation: 


Simplifying
(3x + -1)(x + p) = 3x2 + qx + -2

Reorder the terms:
(-1 + 3x)(x + p) = 3x2 + qx + -2

Reorder the terms:
(-1 + 3x)(p + x) = 3x2 + qx + -2

Multiply (-1 + 3x) * (p + x)
(-1(p + x) + 3x * (p + x)) = 3x2 + qx + -2
((p * -1 + x * -1) + 3x * (p + x)) = 3x2 + qx + -2
((-1p + -1x) + 3x * (p + x)) = 3x2 + qx + -2
(-1p + -1x + (p * 3x + x * 3x)) = 3x2 + qx + -2
(-1p + -1x + (3px + 3x2)) = 3x2 + qx + -2

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

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

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

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

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

Solving
-1p + 3px + -1x = -2 + qx

Solving for variable 'p'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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