5X^2+25X-30=

Solution for 5X^2+25X-30= equation:

Simplifying
5X2 + 25X + -30 = 0

Reorder the terms:
-30 + 25X + 5X2 = 0

Solving
-30 + 25X + 5X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 5X + X2) = 0

Factor a trinomial.
5((-6 + -1X)(1 + -1X)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -1X)' equal to zero and attempt to solve:

Simplifying
-6 + -1X = 0

Solving
-6 + -1X = 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 + -1X = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1X = 0 + 6
-1X = 0 + 6

Combine like terms: 0 + 6 = 6
-1X = 6

Divide each side by '-1'.
X = -6

Simplifying
X = -6
Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve:

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1X = 0 + -1
-1X = 0 + -1

Combine like terms: 0 + -1 = -1
-1X = -1

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Solution
X = {-6, 1}