x^2-7x=7-x

Simple and best practice solution for x^2-7x=7-x 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^2-7x=7-x equation:


Simplifying
x2 + -7x = 7 + -1x

Reorder the terms:
-7x + x2 = 7 + -1x

Solving
-7x + x2 = 7 + -1x

Solving for variable 'x'.

Reorder the terms:
-7 + -7x + x + x2 = 7 + -1x + -7 + x

Combine like terms: -7x + x = -6x
-7 + -6x + x2 = 7 + -1x + -7 + x

Reorder the terms:
-7 + -6x + x2 = 7 + -7 + -1x + x

Combine like terms: 7 + -7 = 0
-7 + -6x + x2 = 0 + -1x + x
-7 + -6x + x2 = -1x + x

Combine like terms: -1x + x = 0
-7 + -6x + x2 = 0

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

Subproblem 1

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

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 = {-1, 7}

See similar equations:

| 2x^2+16x=96 | | x^4+16=8x^2 | | 17m+6+13m+42= | | t+21=14 | | [x-8]=30 | | 4.5(7r+6)=24.5+5.5r | | -1(8-1)+6= | | 3c+17-20c+33= | | 5y+2y+8y-2-4= | | 28.5=-4.5+9.5(y-5.5) | | 5p+7q=1 | | w-4/5=8/3 | | -1/3x+2=-4 | | 4y^2+8yz+3z^2=0 | | 3056890000-15000000t=3000000000 | | 4.5-8(1-8.5c)=29.5 | | a=2.598r^2 | | -7(8.5-9.5s)=18.5 | | -4/5=8/3 | | (3/4y)+(2/3)=(5/6) | | -8x-7.5+7x=-26.5 | | r=1.155r | | -8(9.5b-4)=26.5 | | 24x+4y=240 | | -5.5a+6-5=-22.5 | | 4p-2q=16 | | x+x+34+4x-40=786 | | 6+14y-3=7y+91-4y | | f=5(X-70)+75 | | x^2-x/5+1/100 | | 24x^3y-68x^2y^2-56xy^3=0 | | 2/3M=7-5/6M |

Equations solver categories