(x^2)-x-4=(x-2)(x-2)

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


Simplifying
(x2) + -1x + -4 = (x + -2)(x + -2)
x2 + -1x + -4 = (x + -2)(x + -2)

Reorder the terms:
-4 + -1x + x2 = (x + -2)(x + -2)

Reorder the terms:
-4 + -1x + x2 = (-2 + x)(x + -2)

Reorder the terms:
-4 + -1x + x2 = (-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
-4 + -1x + x2 = (-2(-2 + x) + x(-2 + x))
-4 + -1x + x2 = ((-2 * -2 + x * -2) + x(-2 + x))
-4 + -1x + x2 = ((4 + -2x) + x(-2 + x))
-4 + -1x + x2 = (4 + -2x + (-2 * x + x * x))
-4 + -1x + x2 = (4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
-4 + -1x + x2 = (4 + -4x + x2)

Add '-1x2' to each side of the equation.
-4 + -1x + x2 + -1x2 = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -1x + 0 = 4 + -4x + x2 + -1x2
-4 + -1x = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -1x = 4 + -4x + 0
-4 + -1x = 4 + -4x

Solving
-4 + -1x = 4 + -4x

Solving for variable 'x'.

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

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

Combine like terms: -1x + 4x = 3x
-4 + 3x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 3x = 4 + 0
-4 + 3x = 4

Add '4' to each side of the equation.
-4 + 4 + 3x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 4 + 4
3x = 4 + 4

Combine like terms: 4 + 4 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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