9x^2-2x+25=8x^2

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Solution for 9x^2-2x+25=8x^2 equation:


Simplifying
9x2 + -2x + 25 = 8x2

Reorder the terms:
25 + -2x + 9x2 = 8x2

Solving
25 + -2x + 9x2 = 8x2

Solving for variable 'x'.

Combine like terms: 9x2 + -8x2 = 1x2
25 + -2x + 1x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
25 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -2x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -2x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x + x2 = 0 + -25
-2x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-2x + x2 = -25

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -25 + 1

Reorder the terms:
1 + -2x + x2 = -25 + 1

Combine like terms: -25 + 1 = -24
1 + -2x + x2 = -24

Factor a perfect square on the left side:
(x + -1)(x + -1) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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