x^2-5x=5x(x-1)-4x^2+1

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Solution for x^2-5x=5x(x-1)-4x^2+1 equation:


Simplifying
x2 + -5x = 5x(x + -1) + -4x2 + 1

Reorder the terms:
-5x + x2 = 5x(x + -1) + -4x2 + 1

Reorder the terms:
-5x + x2 = 5x(-1 + x) + -4x2 + 1
-5x + x2 = (-1 * 5x + x * 5x) + -4x2 + 1
-5x + x2 = (-5x + 5x2) + -4x2 + 1

Reorder the terms:
-5x + x2 = 1 + -5x + 5x2 + -4x2

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

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

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

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

Solving
x2 = 1 + 1x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + -1x2 = 0
0 = 1 + 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
0 = 1 + 0
0 = 1

Simplifying
0 = 1

Combine like terms: 0 + -1 = -1
-1 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 = 0

The solution to this equation could not be determined.

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