25j^2+100j+100=

Solution for 25j^2+100j+100= equation:

Simplifying
25j2 + 100j + 100 = 0

Reorder the terms:
100 + 100j + 25j2 = 0

Solving
100 + 100j + 25j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '25'.
25(4 + 4j + j2) = 0

Factor a trinomial.
25((2 + j)(2 + j)) = 0

Ignore the factor 25.
Subproblem 1
Set the factor '(2 + j)' equal to zero and attempt to solve:

Simplifying
2 + j = 0

Solving
2 + j = 0

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

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

Combine like terms: 2 + -2 = 0
0 + j = 0 + -2
j = 0 + -2

Combine like terms: 0 + -2 = -2
j = -2

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

Simplifying
2 + j = 0

Solving
2 + j = 0

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

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

Combine like terms: 2 + -2 = 0
0 + j = 0 + -2
j = 0 + -2

Combine like terms: 0 + -2 = -2
j = -2

Simplifying
j = -2
Solution
j = {-2, -2}