5e^2+2e-7=0

Solution for 5e^2+2e-7=0 equation:

Simplifying
5e2 + 2e + -7 = 0

Reorder the terms:
-7 + 2e + 5e2 = 0

Solving
-7 + 2e + 5e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-7 + -5e)(1 + -1e) = 0

Subproblem 1
Set the factor '(-7 + -5e)' equal to zero and attempt to solve:

Simplifying
-7 + -5e = 0

Solving
-7 + -5e = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5e = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5e = 0 + 7
-5e = 0 + 7

Combine like terms: 0 + 7 = 7
-5e = 7

Divide each side by '-5'.
e = -1.4

Simplifying
e = -1.4
Subproblem 2
Set the factor '(1 + -1e)' equal to zero and attempt to solve:

Simplifying
1 + -1e = 0

Solving
1 + -1e = 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 + -1e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1e = 0 + -1
-1e = 0 + -1

Combine like terms: 0 + -1 = -1
-1e = -1

Divide each side by '-1'.
e = 1

Simplifying
e = 1
Solution
e = {-1.4, 1}