7x^2-37x+9=-1

Solution for 7x^2-37x+9=-1 equation:

Simplifying
7x2 + -37x + 9 = -1

Reorder the terms:
9 + -37x + 7x2 = -1

Solving
9 + -37x + 7x2 = -1

Solving for variable 'x'.

Reorder the terms:
9 + 1 + -37x + 7x2 = -1 + 1

Combine like terms: 9 + 1 = 10
10 + -37x + 7x2 = -1 + 1

Combine like terms: -1 + 1 = 0
10 + -37x + 7x2 = 0

Factor a trinomial.
(2 + -7x)(5 + -1x) = 0

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

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.2857142857, 5}