7X^2-2X-9=0

Solution for 7X^2-2X-9=0 equation:

Simplifying
7X2 + -2X + -9 = 0

Reorder the terms:
-9 + -2X + 7X2 = 0

Solving
-9 + -2X + 7X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-1 + -1X)(9 + -7X) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -7X)' equal to zero and attempt to solve:

Simplifying
9 + -7X = 0

Solving
9 + -7X = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7X = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7X = 0 + -9
-7X = 0 + -9

Combine like terms: 0 + -9 = -9
-7X = -9

Divide each side by '-7'.
X = 1.285714286

Simplifying
X = 1.285714286
Solution
X = {-1, 1.285714286}