x^2-5x-10=-6x+2

Simple and best practice solution for x^2-5x-10=-6x+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-10=-6x+2 equation: 


Simplifying
x2 + -5x + -10 = -6x + 2

Reorder the terms:
-10 + -5x + x2 = -6x + 2

Reorder the terms:
-10 + -5x + x2 = 2 + -6x

Solving
-10 + -5x + x2 = 2 + -6x

Solving for variable 'x'.

Reorder the terms:
-10 + -2 + -5x + 6x + x2 = 2 + -6x + -2 + 6x

Combine like terms: -10 + -2 = -12
-12 + -5x + 6x + x2 = 2 + -6x + -2 + 6x

Combine like terms: -5x + 6x = 1x
-12 + 1x + x2 = 2 + -6x + -2 + 6x

Reorder the terms:
-12 + 1x + x2 = 2 + -2 + -6x + 6x

Combine like terms: 2 + -2 = 0
-12 + 1x + x2 = 0 + -6x + 6x
-12 + 1x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

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

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 3}

See similar equations:

| 3x=2x-3+x | | n+2-4n=33 | | 3yards=in | | 3.2x-2.1+x-2.7= | | 4w+4x+15y+3w+11x+9y= | | 30x+650=y | | m^2=60+4m | | x-50=14 | | (x+1)*(x-4)=0 | | -2x+9y=-5+2y | | 2x-15=43-5x | | 7x-5w+2x+6y+3y+2w= | | 8x-8=3x+64 | | Y=(2x^2)-1 | | -3x+14=-46-9x | | 6x-26=11x-10-4x | | 9x+5y+5z-5x+3z-9y= | | 18a+13b+5c+2c-3b-2a= | | 10-6x=7-7x | | x^2+2y^2=27 | | 7x-84=-3x-4 | | (x-2.5)(x-4)(x-5)(x-5)(x*x+1)=0 | | 3wk=xmin | | 19p+20q+p-3q-4p= | | (x^2-4)(3x-4)(3x-4)=0 | | 628=2nr | | 6(7p-6)=-288 | | 223-3x=5x-1 | | -2+2x=-4x+12x | | 3(4-4x)=-60 | | (x-2.5)(x-4)(x-5)(x-5)(x*x-1)=0 | | 6m+3n-2m+7n= |

Equations solver categories