x^2-2x=24+3x

Simple and best practice solution for x^2-2x=24+3x 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^2-2x=24+3x equation: 


Simplifying
x2 + -2x = 24 + 3x

Reorder the terms:
-2x + x2 = 24 + 3x

Solving
-2x + x2 = 24 + 3x

Solving for variable 'x'.

Reorder the terms:
-24 + -2x + -3x + x2 = 24 + 3x + -24 + -3x

Combine like terms: -2x + -3x = -5x
-24 + -5x + x2 = 24 + 3x + -24 + -3x

Reorder the terms:
-24 + -5x + x2 = 24 + -24 + 3x + -3x

Combine like terms: 24 + -24 = 0
-24 + -5x + x2 = 0 + 3x + -3x
-24 + -5x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -5x + x2 = 0

Factor a trinomial.
(-3 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3, 8}

See similar equations:

| x^2-2x=24+3 | | 12x+(-7)=-4x+25 | | 1x-10=-4x-5 | | 20*12= | | 35+5y-9=16y-10-2y | | y=1E-06x^2-0.0001x+0.384 | | b+15=45 | | 38+4y-9=13y-13-3y | | 7x+3=-1x+3 | | 13-3(x+2)=5x-9+2(x-7) | | -33-6x=51-12x | | 38+4y-9=13y-13-3 | | -4(3+-9)=8(-8-t) | | 128+47= | | 13=21-4a | | 6x+42=2x+18 | | 6c-8ft=14ft | | 6x+41=2x+18 | | -1x+7=1x-17 | | -2y-y-11=1 | | 13=5+3b-14 | | 9x-12=3x-5 | | 1605+855= | | 1-8x=0 | | 5sqrtx+6=19 | | 42-18=3(x-9) | | 5a-10a-11=4 | | 41=36 | | -2x+10=18-4x | | 3(a-1)= | | (20x^3+17x^2+18x+16)= | | 10+8y=-40 |

Equations solver categories