x^2-8x+19=x^2-1

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Solution for x^2-8x+19=x^2-1 equation:


Simplifying
x2 + -8x + 19 = x2 + -1

Reorder the terms:
19 + -8x + x2 = x2 + -1

Reorder the terms:
19 + -8x + x2 = -1 + x2

Add '-1x2' to each side of the equation.
19 + -8x + x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
19 + -8x + 0 = -1 + x2 + -1x2
19 + -8x = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
19 + -8x = -1 + 0
19 + -8x = -1

Solving
19 + -8x = -1

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -8x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -1 + -19
-8x = -1 + -19

Combine like terms: -1 + -19 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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