0=-6x^2+17x-5

Simple and best practice solution for 0=-6x^2+17x-5 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 0=-6x^2+17x-5 equation: 


Simplifying
0 = -6x2 + 17x + -5

Reorder the terms:
0 = -5 + 17x + -6x2

Solving
0 = -5 + 17x + -6x2

Solving for variable 'x'.

Combine like terms: 0 + 5 = 5
5 + -17x + 6x2 = -5 + 17x + -6x2 + 5 + -17x + 6x2

Reorder the terms:
5 + -17x + 6x2 = -5 + 5 + 17x + -17x + -6x2 + 6x2

Combine like terms: -5 + 5 = 0
5 + -17x + 6x2 = 0 + 17x + -17x + -6x2 + 6x2
5 + -17x + 6x2 = 17x + -17x + -6x2 + 6x2

Combine like terms: 17x + -17x = 0
5 + -17x + 6x2 = 0 + -6x2 + 6x2
5 + -17x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
5 + -17x + 6x2 = 0

Factor a trinomial.
(1 + -3x)(5 + -2x) = 0


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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 = {0.3333333333, 2.5}

See similar equations:

| 8-7x+15x=57+x-1 | | -28-2x=-6x+36 | | 6-7m=-29 | | 21=7x+5x+9 | | 5(4x-1)= | | 6y-2+8y+14=180 | | x+15=2.55 | | g(-3)=2x^3+6 | | 566x+65=y | | 7w-2(-2z+5w)-3z= | | B-3+4b=18 | | 5y-18=30 | | 5+2(2.5)=12 | | -15t-15=-5(3t+3) | | -16t^2+40t+6.5=0 | | x+x+15=2.55 | | 2k-8=4(k-1) | | 0=6x^2-4x-2 | | 6+3x=3x-3 | | 1.75m+0.75=4.75 | | -72=-4x^2+12x | | 5x-2w-4z=2 | | 3x=8x-7 | | -13y+26=-15 | | h+17=35 | | x^3+7x=8x | | 3x+(-5x)=x | | 10x-5=-5x+15x | | 5+(6-a)= | | 0.002(2-k)+0.07(k-4)=1 | | r-33=7 | | -4.9x^2+6.84x+22=0 |

Equations solver categories