0=x^2-29x+100

Solution for 0=x^2-29x+100 equation:

Simplifying
0 = x2 + -29x + 100

Reorder the terms:
0 = 100 + -29x + x2

Solving
0 = 100 + -29x + x2

Solving for variable 'x'.

Combine like terms: 0 + -100 = -100
-100 + 29x + -1x2 = 100 + -29x + x2 + -100 + 29x + -1x2

Reorder the terms:
-100 + 29x + -1x2 = 100 + -100 + -29x + 29x + x2 + -1x2

Combine like terms: 100 + -100 = 0
-100 + 29x + -1x2 = 0 + -29x + 29x + x2 + -1x2
-100 + 29x + -1x2 = -29x + 29x + x2 + -1x2

Combine like terms: -29x + 29x = 0
-100 + 29x + -1x2 = 0 + x2 + -1x2
-100 + 29x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-100 + 29x + -1x2 = 0

Factor a trinomial.
(-25 + x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-25 + x)' equal to zero and attempt to solve:

Simplifying
-25 + x = 0

Solving
-25 + x = 0

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

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

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

Combine like terms: 0 + 25 = 25
x = 25

Simplifying
x = 25
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {25, 4}