x^2-5x-6=x^2-1

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Solution for x^2-5x-6=x^2-1 equation:


Simplifying
x2 + -5x + -6 = x2 + -1

Reorder the terms:
-6 + -5x + x2 = x2 + -1

Reorder the terms:
-6 + -5x + x2 = -1 + x2

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

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

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

Solving
-6 + -5x = -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 + -5x = -1 + 6

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

Combine like terms: -1 + 6 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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