3X^2+72=-30X

Solution for 3X^2+72=-30X equation:

Simplifying
3X2 + 72 = -30X

Reorder the terms:
72 + 3X2 = -30X

Solving
72 + 3X2 = -30X

Solving for variable 'X'.

Reorder the terms:
72 + 30X + 3X2 = -30X + 30X

Combine like terms: -30X + 30X = 0
72 + 30X + 3X2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + 10X + X2) = 0

Factor a trinomial.
3((6 + X)(4 + X)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 0

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

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

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Subproblem 2
Set the factor '(4 + X)' equal to zero and attempt to solve:

Simplifying
4 + X = 0

Solving
4 + X = 0

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

Add '-4' to each side of the equation.
4 + -4 + X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X = 0 + -4
X = 0 + -4

Combine like terms: 0 + -4 = -4
X = -4

Simplifying
X = -4
Solution
X = {-6, -4}