ax^2+(a-1)=(a+1)x

Simple and best practice solution for ax^2+(a-1)=(a+1)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 ax^2+(a-1)=(a+1)x equation:


Simplifying
ax2 + (a + -1) = (a + 1) * x

Reorder the terms:
ax2 + (-1 + a) = (a + 1) * x

Remove parenthesis around (-1 + a)
ax2 + -1 + a = (a + 1) * x

Reorder the terms:
-1 + a + ax2 = (a + 1) * x

Reorder the terms:
-1 + a + ax2 = (1 + a) * x

Reorder the terms for easier multiplication:
-1 + a + ax2 = x(1 + a)
-1 + a + ax2 = (1 * x + a * x)

Reorder the terms:
-1 + a + ax2 = (ax + 1x)
-1 + a + ax2 = (ax + 1x)

Solving
-1 + a + ax2 = ax + 1x

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
-1 + a + -1ax + ax2 = ax + -1ax + 1x

Combine like terms: ax + -1ax = 0
-1 + a + -1ax + ax2 = 0 + 1x
-1 + a + -1ax + ax2 = 1x

Add '1' to each side of the equation.
-1 + a + -1ax + 1 + ax2 = 1 + 1x

Reorder the terms:
-1 + 1 + a + -1ax + ax2 = 1 + 1x

Combine like terms: -1 + 1 = 0
0 + a + -1ax + ax2 = 1 + 1x
a + -1ax + ax2 = 1 + 1x

Reorder the terms:
-1 + a + -1ax + ax2 + -1x = 1 + 1x + -1 + -1x

Reorder the terms:
-1 + a + -1ax + ax2 + -1x = 1 + -1 + 1x + -1x

Combine like terms: 1 + -1 = 0
-1 + a + -1ax + ax2 + -1x = 0 + 1x + -1x
-1 + a + -1ax + ax2 + -1x = 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + a + -1ax + ax2 + -1x = 0

The solution to this equation could not be determined.

See similar equations:

| 7x+42=92.4 | | 3(3x+1)+6(x-1)=-6 | | 7x-8=8+4x-0+3x | | 4x-6+7x=38 | | 5log^2(3x+7)=0 | | -6=2u | | (5x+3)(x+4)=0 | | 16t=15t-14+3t+2 | | 162=15t-14+3t+2 | | -12=18-6x | | Y-4=7x | | 16t=15t+14-3t-2 | | 732.60=44(x+2.65) | | 2a=82 | | 2(22+(-1y))+2y=44 | | 4x+8.40=6x+2 | | -16-3n=7n+2(-5n-8) | | 42+4x=180 | | 12xy^9-24x^5y^8=16x^3y^7 | | 4x^3-16x^2-9x+40=0 | | (3x)+18=180 | | 3x-2(x+1)=x-7 | | 63.6=6(m+3.4) | | 0=2x-y | | (n-2)•180/n=135 | | y=-8x-28 | | 4x+10=3x+y | | 6n^2/2n | | 2(3x-6)=33 | | 8x^2y^3-6x^3y/2x^2y | | 8x-7=6x+15 | | -2x-17x= |

Equations solver categories