25a^2-20a=(-4)

Solution for 25a^2-20a=(-4) equation:

Simplifying
25a2 + -20a = (-4)

Reorder the terms:
-20a + 25a2 = (-4)
-20a + 25a2 = -4

Solving
-20a + 25a2 = -4

Solving for variable 'a'.

Reorder the terms:
4 + -20a + 25a2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -20a + 25a2 = 0

Factor a trinomial.
(2 + -5a)(2 + -5a) = 0

Subproblem 1
Set the factor '(2 + -5a)' equal to zero and attempt to solve:

Simplifying
2 + -5a = 0

Solving
2 + -5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 0 + -2
-5a = 0 + -2

Combine like terms: 0 + -2 = -2
-5a = -2

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4
Subproblem 2
Set the factor '(2 + -5a)' equal to zero and attempt to solve:

Simplifying
2 + -5a = 0

Solving
2 + -5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 0 + -2
-5a = 0 + -2

Combine like terms: 0 + -2 = -2
-5a = -2

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4
Solution
a = {0.4, 0.4}