x^2-4x-2=-9x+4

Solution for x^2-4x-2=-9x+4 equation:

Simplifying
x2 + -4x + -2 = -9x + 4

Reorder the terms:
-2 + -4x + x2 = -9x + 4

Reorder the terms:
-2 + -4x + x2 = 4 + -9x

Solving
-2 + -4x + x2 = 4 + -9x

Solving for variable 'x'.

Reorder the terms:
-2 + -4 + -4x + 9x + x2 = 4 + -9x + -4 + 9x

Combine like terms: -2 + -4 = -6
-6 + -4x + 9x + x2 = 4 + -9x + -4 + 9x

Combine like terms: -4x + 9x = 5x
-6 + 5x + x2 = 4 + -9x + -4 + 9x

Reorder the terms:
-6 + 5x + x2 = 4 + -4 + -9x + 9x

Combine like terms: 4 + -4 = 0
-6 + 5x + x2 = 0 + -9x + 9x
-6 + 5x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 5x + x2 = 0

Factor a trinomial.
(-6 + -1x)(1 + -1x) = 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 '(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
Solution
x = {-6, 1}