0=x^2-24x+140

Solution for 0=x^2-24x+140 equation:

Simplifying
0 = x2 + -24x + 140

Reorder the terms:
0 = 140 + -24x + x2

Solving
0 = 140 + -24x + x2

Solving for variable 'x'.

Combine like terms: 0 + -140 = -140
-140 + 24x + -1x2 = 140 + -24x + x2 + -140 + 24x + -1x2

Reorder the terms:
-140 + 24x + -1x2 = 140 + -140 + -24x + 24x + x2 + -1x2

Combine like terms: 140 + -140 = 0
-140 + 24x + -1x2 = 0 + -24x + 24x + x2 + -1x2
-140 + 24x + -1x2 = -24x + 24x + x2 + -1x2

Combine like terms: -24x + 24x = 0
-140 + 24x + -1x2 = 0 + x2 + -1x2
-140 + 24x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-140 + 24x + -1x2 = 0

Factor a trinomial.
(-14 + x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

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

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

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {14, 10}