10M^2+60M+90=0

Solution for 10M^2+60M+90=0 equation:

Simplifying
10M2 + 60M + 90 = 0

Reorder the terms:
90 + 60M + 10M2 = 0

Solving
90 + 60M + 10M2 = 0

Solving for variable 'M'.

Factor out the Greatest Common Factor (GCF), '10'.
10(9 + 6M + M2) = 0

Factor a trinomial.
10((3 + M)(3 + M)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(3 + M)' equal to zero and attempt to solve:

Simplifying
3 + M = 0

Solving
3 + M = 0

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

Add '-3' to each side of the equation.
3 + -3 + M = 0 + -3

Combine like terms: 3 + -3 = 0
0 + M = 0 + -3
M = 0 + -3

Combine like terms: 0 + -3 = -3
M = -3

Simplifying
M = -3
Subproblem 2
Set the factor '(3 + M)' equal to zero and attempt to solve:

Simplifying
3 + M = 0

Solving
3 + M = 0

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

Add '-3' to each side of the equation.
3 + -3 + M = 0 + -3

Combine like terms: 3 + -3 = 0
0 + M = 0 + -3
M = 0 + -3

Combine like terms: 0 + -3 = -3
M = -3

Simplifying
M = -3
Solution
M = {-3, -3}