x^2-7*x+6=x^2-1

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Solution for x^2-7*x+6=x^2-1 equation:


Simplifying
x2 + -7x + 6 = x2 + -1

Reorder the terms:
6 + -7x + x2 = x2 + -1

Reorder the terms:
6 + -7x + x2 = -1 + x2

Add '-1x2' to each side of the equation.
6 + -7x + x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -7x + 0 = -1 + x2 + -1x2
6 + -7x = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -7x = -1 + 0
6 + -7x = -1

Solving
6 + -7x = -1

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 + -7x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -1 + -6
-7x = -1 + -6

Combine like terms: -1 + -6 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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