X+1=X^2-10X+25

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Solution for X+1=X^2-10X+25 equation: 


Simplifying
X + 1 = X2 + -10X + 25

Reorder the terms:
1 + X = X2 + -10X + 25

Reorder the terms:
1 + X = 25 + -10X + X2

Solving
1 + X = 25 + -10X + X2

Solving for variable 'X'.

Reorder the terms:
1 + -25 + X + 10X + -1X2 = 25 + -10X + X2 + -25 + 10X + -1X2

Combine like terms: 1 + -25 = -24
-24 + X + 10X + -1X2 = 25 + -10X + X2 + -25 + 10X + -1X2

Combine like terms: X + 10X = 11X
-24 + 11X + -1X2 = 25 + -10X + X2 + -25 + 10X + -1X2

Reorder the terms:
-24 + 11X + -1X2 = 25 + -25 + -10X + 10X + X2 + -1X2

Combine like terms: 25 + -25 = 0
-24 + 11X + -1X2 = 0 + -10X + 10X + X2 + -1X2
-24 + 11X + -1X2 = -10X + 10X + X2 + -1X2

Combine like terms: -10X + 10X = 0
-24 + 11X + -1X2 = 0 + X2 + -1X2
-24 + 11X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-24 + 11X + -1X2 = 0

Factor a trinomial.
(-8 + X)(3 + -1X) = 0


Subproblem 1
Set the factor '(-8 + X)' equal to zero and attempt to solve:

Simplifying
-8 + X = 0

Solving
-8 + X = 0

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

Add '8' to each side of the equation.
-8 + 8 + X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X = 0 + 8
X = 0 + 8

Combine like terms: 0 + 8 = 8
X = 8

Simplifying
X = 8

Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {8, 3}

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