x^2-5x+1=10-5x

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Solution for x^2-5x+1=10-5x equation: 


Simplifying
x2 + -5x + 1 = 10 + -5x

Reorder the terms:
1 + -5x + x2 = 10 + -5x

Add '5x' to each side of the equation.
1 + -5x + 5x + x2 = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 0 + x2 = 10 + -5x + 5x
1 + x2 = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + x2 = 10 + 0
1 + x2 = 10

Solving
1 + x2 = 10

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x2 = 10 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 10 + -1
x2 = 10 + -1

Combine like terms: 10 + -1 = 9
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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