x^2-20=6x-28

Simple and best practice solution for x^2-20=6x-28 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^2-20=6x-28 equation: 


Simplifying
x2 + -20 = 6x + -28

Reorder the terms:
-20 + x2 = 6x + -28

Reorder the terms:
-20 + x2 = -28 + 6x

Solving
-20 + x2 = -28 + 6x

Solving for variable 'x'.

Reorder the terms:
-20 + 28 + -6x + x2 = -28 + 6x + 28 + -6x

Combine like terms: -20 + 28 = 8
8 + -6x + x2 = -28 + 6x + 28 + -6x

Reorder the terms:
8 + -6x + x2 = -28 + 28 + 6x + -6x

Combine like terms: -28 + 28 = 0
8 + -6x + x2 = 0 + 6x + -6x
8 + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -6x + x2 = 0

Factor a trinomial.
(2 + -1x)(4 + -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 '(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
Solution
x = {2, 4}

See similar equations:

| 2(x+7)=2(x+10) | | 6(n-2)-(5-3n)=8ne | | lnx^4=10 | | -1x+3=-1.5x+6 | | 8x+9(10)=-28 | | 57=4(3x+3)+3x | | q+4=p | | -x+70=230 | | 5=-(1-2x)-3(X-3) | | 50x=100+40x | | 26x+4(5+6)=7-4 | | 5(t-5)=25 | | 8+(-12)+(-8)= | | 2(n+9)=20 | | 120pi=2pir(10) | | 3x+x+5(5x+1)-3=89 | | 10x+5=13x-7 | | -2x+8-6x+2=-6 | | 7x+19y=7 | | -12=3(d-4) | | 4sin(2x)+4cos^2(2x)=0 | | 6-2q=p | | 9c+3=57 | | 68=-4-4(3x-1) | | x^2-18x+73=0 | | (-7)+x=1 | | 3(2x+6)=90 | | 95=5+6z | | Y=2x^2-8x+34 | | (-4)=8-x | | 20=26-6n+(-12)+4n | | 2=18+x |

Equations solver categories