x^2-5x+6=x^2-4

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Solution for x^2-5x+6=x^2-4 equation:


Simplifying
x2 + -5x + 6 = x2 + -4

Reorder the terms:
6 + -5x + x2 = x2 + -4

Reorder the terms:
6 + -5x + x2 = -4 + x2

Add '-1x2' to each side of the equation.
6 + -5x + x2 + -1x2 = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -5x + 0 = -4 + x2 + -1x2
6 + -5x = -4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -5x = -4 + 0
6 + -5x = -4

Solving
6 + -5x = -4

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -5x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -4 + -6
-5x = -4 + -6

Combine like terms: -4 + -6 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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