5x^2+22x-47=1

Solution for 5x^2+22x-47=1 equation:

Simplifying
5x2 + 22x + -47 = 1

Reorder the terms:
-47 + 22x + 5x2 = 1

Solving
-47 + 22x + 5x2 = 1

Solving for variable 'x'.

Reorder the terms:
-47 + -1 + 22x + 5x2 = 1 + -1

Combine like terms: -47 + -1 = -48
-48 + 22x + 5x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-48 + 22x + 5x2 = 0

Factor a trinomial.
(-6 + -1x)(8 + -5x) = 0

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 '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-6, 1.6}