(a^2-a)*x=2a

Simple and best practice solution for (a^2-a)*x=2a 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 (a^2-a)*x=2a equation:


Simplifying
(a2 + -1a) * x = 2a

Reorder the terms:
(-1a + a2) * x = 2a

Reorder the terms for easier multiplication:
x(-1a + a2) = 2a
(-1a * x + a2 * x) = 2a
(-1ax + a2x) = 2a

Solving
-1ax + a2x = 2a

Solving for variable 'a'.

Reorder the terms:
-2a + -1ax + a2x = 2a + -2a

Combine like terms: 2a + -2a = 0
-2a + -1ax + a2x = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-2 + -1x + ax) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(-2 + -1x + ax)' equal to zero and attempt to solve: Simplifying -2 + -1x + ax = 0 Reorder the terms: -2 + ax + -1x = 0 Solving -2 + ax + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ax + 2 + -1x = 0 + 2 Reorder the terms: -2 + 2 + ax + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ax + -1x = 0 + 2 ax + -1x = 0 + 2 Combine like terms: 0 + 2 = 2 ax + -1x = 2 Add 'x' to each side of the equation. ax + -1x + x = 2 + x Combine like terms: -1x + x = 0 ax + 0 = 2 + x ax = 2 + x Divide each side by 'x'. a = 2x-1 + 1 Simplifying a = 2x-1 + 1 Reorder the terms: a = 1 + 2x-1

Solution

a = {0, 1 + 2x-1}

See similar equations:

| 1+z+z^2+z^3=0 | | 6x+19=37 | | 77x^3/6x | | (a-1)*x+(x-1)*a=a-2 | | -6x+13=21 | | kx^2+2kx+x+k=0 | | -6x+13=28 | | -6x+13=25 | | kx^2+2kx+x=0 | | ax=2x+3 | | 2kx+x=0 | | 2(x+1)-4=0.25(12x-24) | | 4.5(2x-10)=12(0.5x-5) | | 16(3x-3)=-8(6-44) | | 16m+6=15+8 | | X-6/5=1/5 | | x=(0.75xy) | | 3x+3y+3z=z | | 2x-1=x/3 | | 2a+4+2a-5= | | 0.2222222222y+-0.5555555555=0.6666666667y+0.1111111111 | | x^2-225+5= | | Z^2-2iz-i=0 | | (0.3)3x-2=1 | | x(x-8)=5 | | a^2+7a-120=0 | | -x+15=11-3x | | 2.5(-5x+10)=7(-4.5x+9) | | X=6x^2 | | 50=25x | | 7p+12+11p-8= | | 8x-4=22 |

Equations solver categories