2E^2-21E+10=0

Solution for 2E^2-21E+10=0 equation:

Simplifying
2E2 + -21E + 10 = 0

Reorder the terms:
10 + -21E + 2E2 = 0

Solving
10 + -21E + 2E2 = 0

Solving for variable 'E'.

Factor a trinomial.
(1 + -2E)(10 + -1E) = 0

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

Simplifying
1 + -2E = 0

Solving
1 + -2E = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2E = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2E = 0 + -1
-2E = 0 + -1

Combine like terms: 0 + -1 = -1
-2E = -1

Divide each side by '-2'.
E = 0.5

Simplifying
E = 0.5
Subproblem 2
Set the factor '(10 + -1E)' equal to zero and attempt to solve:

Simplifying
10 + -1E = 0

Solving
10 + -1E = 0

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

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

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

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

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

Simplifying
E = 10
Solution
E = {0.5, 10}