0=x^2+7x-30

Solution for 0=x^2+7x-30 equation:

Simplifying
0 = x2 + 7x + -30

Reorder the terms:
0 = -30 + 7x + x2

Solving
0 = -30 + 7x + x2

Solving for variable 'x'.

Combine like terms: 0 + 30 = 30
30 + -7x + -1x2 = -30 + 7x + x2 + 30 + -7x + -1x2

Reorder the terms:
30 + -7x + -1x2 = -30 + 30 + 7x + -7x + x2 + -1x2

Combine like terms: -30 + 30 = 0
30 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2
30 + -7x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
30 + -7x + -1x2 = 0 + x2 + -1x2
30 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -7x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(10 + x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {3, -10}