0=7x^2+18x-9

Solution for 0=7x^2+18x-9 equation:

Simplifying
0 = 7x2 + 18x + -9

Reorder the terms:
0 = -9 + 18x + 7x2

Solving
0 = -9 + 18x + 7x2

Solving for variable 'x'.

Combine like terms: 0 + 9 = 9
9 + -18x + -7x2 = -9 + 18x + 7x2 + 9 + -18x + -7x2

Reorder the terms:
9 + -18x + -7x2 = -9 + 9 + 18x + -18x + 7x2 + -7x2

Combine like terms: -9 + 9 = 0
9 + -18x + -7x2 = 0 + 18x + -18x + 7x2 + -7x2
9 + -18x + -7x2 = 18x + -18x + 7x2 + -7x2

Combine like terms: 18x + -18x = 0
9 + -18x + -7x2 = 0 + 7x2 + -7x2
9 + -18x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
9 + -18x + -7x2 = 0

Factor a trinomial.
(3 + -7x)(3 + x) = 0

Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {0.4285714286, -3}