83=3-22x+4x^2

Simple and best practice solution for 83=3-22x+4x^2 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 83=3-22x+4x^2 equation: 


Simplifying
83 = 3 + -22x + 4x2

Solving
83 = 3 + -22x + 4x2

Solving for variable 'x'.

Combine like terms: 83 + -3 = 80
80 + 22x + -4x2 = 3 + -22x + 4x2 + -3 + 22x + -4x2

Reorder the terms:
80 + 22x + -4x2 = 3 + -3 + -22x + 22x + 4x2 + -4x2

Combine like terms: 3 + -3 = 0
80 + 22x + -4x2 = 0 + -22x + 22x + 4x2 + -4x2
80 + 22x + -4x2 = -22x + 22x + 4x2 + -4x2

Combine like terms: -22x + 22x = 0
80 + 22x + -4x2 = 0 + 4x2 + -4x2
80 + 22x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
80 + 22x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + 11x + -2x2) = 0

Factor a trinomial.
2((8 + -1x)(5 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {8, -2.5}

See similar equations:

| 12x+2=2x-14 | | 14=3.8+w | | 83=3-22x | | 4x^2+28x-3x-21=98 | | 5x^2+19x-18=0 | | 8h-2=9+7h | | 1/4(s-4)=s-7 | | 4x(-10-6)=-88-8x | | 9x-2+3x=5+7x+11 | | 3^1*3^1/2 | | 11a+18b+2c+6c-4b-3a= | | 6x=94-8x | | 14p+20q+p+3q+7p= | | 10m+4n+2m+10n= | | (5p-1)x^2-4x+(2p-1)=0 | | 3x/3^1/2=1/3 | | 16a^2+36a^2b^2-81b^2-3b=0 | | 225p^2+256= | | X/-10=5 | | X/27=-7 | | 12x+8=2x-12 | | ln(9/2x)=3/2 | | .17(k-9)=4 | | .67(T+5)=8 | | 6m=5m-12 | | n/5-1=9 | | 3y=7x+48 | | 10y-4=3x+24 | | F(k)=32 | | 397+D= | | Xa=Xb-c | | 302/324 |

Equations solver categories