x^2-5x-4=-4x+2

Simple and best practice solution for x^2-5x-4=-4x+2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2-5x-4=-4x+2 equation: 


Simplifying
x2 + -5x + -4 = -4x + 2

Reorder the terms:
-4 + -5x + x2 = -4x + 2

Reorder the terms:
-4 + -5x + x2 = 2 + -4x

Solving
-4 + -5x + x2 = 2 + -4x

Solving for variable 'x'.

Reorder the terms:
-4 + -2 + -5x + 4x + x2 = 2 + -4x + -2 + 4x

Combine like terms: -4 + -2 = -6
-6 + -5x + 4x + x2 = 2 + -4x + -2 + 4x

Combine like terms: -5x + 4x = -1x
-6 + -1x + x2 = 2 + -4x + -2 + 4x

Reorder the terms:
-6 + -1x + x2 = 2 + -2 + -4x + 4x

Combine like terms: 2 + -2 = 0
-6 + -1x + x2 = 0 + -4x + 4x
-6 + -1x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + -1x + x2 = 0

Factor a trinomial.
(-2 + -1x)(3 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2, 3}

See similar equations:

| 12a^2+36=0 | | 10=c/31 | | 10x-190=2x+55 | | 10x-190=2x+56 | | 5/9(68-31) | | 0.3y=2.10 | | 11x-4=35x | | 10x-190=2x+58 | | 11x-4+35x=180 | | 4t+7t^2-t= | | x+11=-1(2x+2) | | 6x+45=x-5 | | x+15+23=180 | | 3/;-2/3 | | 0.24n=1.68 | | 0.24=1.68 | | -11/19x=2 | | 12-1/4 | | 6c-1=2c+25 | | 3w+4x-12y+5w+8x+7y= | | -5(3*4)=-29+8x | | 2(x-3)-14=-26 | | 2r^3+6r^2=20 | | 0.24=1.68n | | 4s+1237.5=1115 | | x+120+120=180 | | 0.5x-7=0.17x+2.3 | | x-22=x+31 | | 3+3v=6 | | 29x-3+96=180 | | -9/19=x-11 | | 3/10-5/6 |

Equations solver categories