-5x^2+25x=-30

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

Simplifying
-5x2 + 25x = -30

Reorder the terms:
25x + -5x2 = -30

Solving
25x + -5x2 = -30

Solving for variable 'x'.

Reorder the terms:
30 + 25x + -5x2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 25x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + 5x + -1x2) = 0

Factor a trinomial.
5((6 + -1x)(1 + x)) = 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 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

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