25U^2+5U-42=0

Solution for 25U^2+5U-42=0 equation:

Simplifying
25U2 + 5U + -42 = 0

Reorder the terms:
-42 + 5U + 25U2 = 0

Solving
-42 + 5U + 25U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-7 + -5U)(6 + -5U) = 0

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

Simplifying
-7 + -5U = 0

Solving
-7 + -5U = 0

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

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

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

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

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

Simplifying
U = -1.4
Subproblem 2
Set the factor '(6 + -5U)' equal to zero and attempt to solve:

Simplifying
6 + -5U = 0

Solving
6 + -5U = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5U = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5U = 0 + -6
-5U = 0 + -6

Combine like terms: 0 + -6 = -6
-5U = -6

Divide each side by '-5'.
U = 1.2

Simplifying
U = 1.2
Solution
U = {-1.4, 1.2}