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

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


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

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

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

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

Multiply (2 + x) * (-2 + x)
-4 + p + x2 = (2(-2 + x) + x(-2 + x)) + 2p + -3
-4 + p + x2 = ((-2 * 2 + x * 2) + x(-2 + x)) + 2p + -3
-4 + p + x2 = ((-4 + 2x) + x(-2 + x)) + 2p + -3
-4 + p + x2 = (-4 + 2x + (-2 * x + x * x)) + 2p + -3
-4 + p + x2 = (-4 + 2x + (-2x + x2)) + 2p + -3

Combine like terms: 2x + -2x = 0
-4 + p + x2 = (-4 + 0 + x2) + 2p + -3
-4 + p + x2 = (-4 + x2) + 2p + -3

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

Combine like terms: -4 + -3 = -7
-4 + p + x2 = -7 + 2p + x2

Add '-1x2' to each side of the equation.
-4 + p + x2 + -1x2 = -7 + 2p + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + p + 0 = -7 + 2p + x2 + -1x2
-4 + p = -7 + 2p + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + p = -7 + 2p + 0
-4 + p = -7 + 2p

Solving
-4 + p = -7 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-4 + p + -2p = -7 + 2p + -2p

Combine like terms: p + -2p = -1p
-4 + -1p = -7 + 2p + -2p

Combine like terms: 2p + -2p = 0
-4 + -1p = -7 + 0
-4 + -1p = -7

Add '4' to each side of the equation.
-4 + 4 + -1p = -7 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = -7 + 4
-1p = -7 + 4

Combine like terms: -7 + 4 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3

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