X^2-5=(x+2)(x-4)

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Solution for X^2-5=(x+2)(x-4) equation:


Simplifying
X2 + -5 = (x + 2)(x + -4)

Reorder the terms:
-5 + X2 = (x + 2)(x + -4)

Reorder the terms:
-5 + X2 = (2 + x)(x + -4)

Reorder the terms:
-5 + X2 = (2 + x)(-4 + x)

Multiply (2 + x) * (-4 + x)
-5 + X2 = (2(-4 + x) + x(-4 + x))
-5 + X2 = ((-4 * 2 + x * 2) + x(-4 + x))
-5 + X2 = ((-8 + 2x) + x(-4 + x))
-5 + X2 = (-8 + 2x + (-4 * x + x * x))
-5 + X2 = (-8 + 2x + (-4x + x2))

Combine like terms: 2x + -4x = -2x
-5 + X2 = (-8 + -2x + x2)

Solving
-5 + X2 = -8 + -2x + x2

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + 5 + X2 = -8 + -2x + 5 + x2

Combine like terms: -5 + 5 = 0
0 + X2 = -8 + -2x + 5 + x2
X2 = -8 + -2x + 5 + x2

Reorder the terms:
X2 = -8 + 5 + -2x + x2

Combine like terms: -8 + 5 = -3
X2 = -3 + -2x + x2

Simplifying
X2 = -3 + -2x + x2

Reorder the terms:
3 + X2 + 2x + -1x2 = -3 + -2x + x2 + 3 + 2x + -1x2

Reorder the terms:
3 + X2 + 2x + -1x2 = -3 + 3 + -2x + 2x + x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + X2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
3 + X2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
3 + X2 + 2x + -1x2 = 0 + x2 + -1x2
3 + X2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + X2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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