x^2-6x=4x-21

Simple and best practice solution for x^2-6x=4x-21 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^2-6x=4x-21 equation: 


Simplifying
x2 + -6x = 4x + -21

Reorder the terms:
-6x + x2 = 4x + -21

Reorder the terms:
-6x + x2 = -21 + 4x

Solving
-6x + x2 = -21 + 4x

Solving for variable 'x'.

Reorder the terms:
21 + -6x + -4x + x2 = -21 + 4x + 21 + -4x

Combine like terms: -6x + -4x = -10x
21 + -10x + x2 = -21 + 4x + 21 + -4x

Reorder the terms:
21 + -10x + x2 = -21 + 21 + 4x + -4x

Combine like terms: -21 + 21 = 0
21 + -10x + x2 = 0 + 4x + -4x
21 + -10x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -10x + x2 = 0

Factor a trinomial.
(3 + -1x)(7 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {3, 7}

See similar equations:

| (x^3+3x^2+3x+1)-(x^3-3x^2+3x-1)=6x(x-3) | | y=x(1-5x^2) | | 6.5r=c/6.28 | | 6.5=c/6.28 | | 6x+4x=87x-9x | | z+3+z-8+z=61 | | 15x^5-5x^4=0 | | 5(1-2x+x^2)-6(x^2-3x-7)=x(x-3)-2x(x+5)-2 | | 2x+24=4x-14 | | -2+2x=-8x+17x | | 4ln(x-5)+1= | | 46-6x=12x+16 | | 2x(-1)-1=1/2x-6 | | 14+8x=178-36x | | 12m+16n=8 | | 2cos^4(x)-1=0 | | x^2+4.62*x-0.462=0 | | 4(35-5y)=0 | | 54(z-47)+54(z+47)=0 | | (-123)+(-57)-(45)-(-67)= | | x/7=(2x-3) | | x/7=2x-3 | | x=7(2x-3) | | 93(y+11)=93(2y+13) | | 98x+79=x(98+79) | | ((x^5*y^8)/2z^3)^6 | | (x+1)(x-2)=1 | | -35=12(a+2) | | 24x^3+30x^2=0 | | -5-9t=-8(-3t-20) | | -5(-8h+12)-16h=4(10h+1) | | -6(-4p-1)=7p+6+2p |

Equations solver categories