(x+2)(x+p)=x^2+qx-10

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Solution for (x+2)(x+p)=x^2+qx-10 equation: 


Simplifying
(x + 2)(x + p) = x2 + qx + -10

Reorder the terms:
(2 + x)(x + p) = x2 + qx + -10

Reorder the terms:
(2 + x)(p + x) = x2 + qx + -10

Multiply (2 + x) * (p + x)
(2(p + x) + x(p + x)) = x2 + qx + -10
((p * 2 + x * 2) + x(p + x)) = x2 + qx + -10
((2p + 2x) + x(p + x)) = x2 + qx + -10
(2p + 2x + (p * x + x * x)) = x2 + qx + -10
(2p + 2x + (px + x2)) = x2 + qx + -10

Reorder the terms:
(2p + px + 2x + x2) = x2 + qx + -10
(2p + px + 2x + x2) = x2 + qx + -10

Reorder the terms:
2p + px + 2x + x2 = -10 + qx + x2

Add '-1x2' to each side of the equation.
2p + px + 2x + x2 + -1x2 = -10 + qx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2p + px + 2x + 0 = -10 + qx + x2 + -1x2
2p + px + 2x = -10 + qx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2p + px + 2x = -10 + qx + 0
2p + px + 2x = -10 + qx

Solving
2p + px + 2x = -10 + qx

Solving for variable 'p'.

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

Add '-2x' to each side of the equation.
2p + px + 2x + -2x = -10 + qx + -2x

Combine like terms: 2x + -2x = 0
2p + px + 0 = -10 + qx + -2x
2p + px = -10 + qx + -2x

Reorder the terms:
10 + 2p + px + -1qx + 2x = -10 + qx + -2x + 10 + -1qx + 2x

Reorder the terms:
10 + 2p + px + -1qx + 2x = -10 + 10 + qx + -1qx + -2x + 2x

Combine like terms: -10 + 10 = 0
10 + 2p + px + -1qx + 2x = 0 + qx + -1qx + -2x + 2x
10 + 2p + px + -1qx + 2x = qx + -1qx + -2x + 2x

Combine like terms: qx + -1qx = 0
10 + 2p + px + -1qx + 2x = 0 + -2x + 2x
10 + 2p + px + -1qx + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 2p + px + -1qx + 2x = 0

The solution to this equation could not be determined.

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