5x^2-17x+3=2x^2+3x-22

Simple and best practice solution for 5x^2-17x+3=2x^2+3x-22 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 5x^2-17x+3=2x^2+3x-22 equation: 


Simplifying
5x2 + -17x + 3 = 2x2 + 3x + -22

Reorder the terms:
3 + -17x + 5x2 = 2x2 + 3x + -22

Reorder the terms:
3 + -17x + 5x2 = -22 + 3x + 2x2

Solving
3 + -17x + 5x2 = -22 + 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
3 + 22 + -17x + -3x + 5x2 + -2x2 = -22 + 3x + 2x2 + 22 + -3x + -2x2

Combine like terms: 3 + 22 = 25
25 + -17x + -3x + 5x2 + -2x2 = -22 + 3x + 2x2 + 22 + -3x + -2x2

Combine like terms: -17x + -3x = -20x
25 + -20x + 5x2 + -2x2 = -22 + 3x + 2x2 + 22 + -3x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
25 + -20x + 3x2 = -22 + 3x + 2x2 + 22 + -3x + -2x2

Reorder the terms:
25 + -20x + 3x2 = -22 + 22 + 3x + -3x + 2x2 + -2x2

Combine like terms: -22 + 22 = 0
25 + -20x + 3x2 = 0 + 3x + -3x + 2x2 + -2x2
25 + -20x + 3x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
25 + -20x + 3x2 = 0 + 2x2 + -2x2
25 + -20x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
25 + -20x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(5 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

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

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

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.666666667, 5}

See similar equations:

| X^3+3x^2+2x=100 | | 3a=9a^2-30-3a | | 5/x-12=0 | | -30x-14=x^3 | | 2cos^2(x)-3sin(x)cos(x)-sin^2(x)=0 | | -5(2-9)=2(x-8)-11 | | 18-4x/.5=20 | | 2cos^2(x)-3sin(x)xcos(x)-sin^2(x)=0 | | 6s+7t=27 | | 2cos^2(x)-3sin(x)cos(x)-2sin^2(x)=0 | | (25/36)/(15/18) | | 8p+5q=45 | | 25/36/15/18 | | 3x-3=53 | | 4m+10n=83 | | 3*5+12= | | 10a+3b=47 | | 30x=300000000000000000 | | 5a+b=10 | | (2w-5)w=65 | | 311=x+4 | | 31000/1500000000 | | 3x+12x+48+27=0 | | -3=-33+5 | | 5y^2+3y=0 | | 7(3x-13)=14 | | x*x*3*2=96 | | Log(3x+3)=log(9x-15) | | 3/4r-2/3=5/6 | | -9(x+9)=3(x+63) | | 7(6h-3)=-26+9h | | 7x+22=2x+7 |

Equations solver categories