0=3x^2+10x-8

Simple and best practice solution for 0=3x^2+10x-8 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=3x^2+10x-8 equation: 


Simplifying
0 = 3x2 + 10x + -8

Reorder the terms:
0 = -8 + 10x + 3x2

Solving
0 = -8 + 10x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -10x + -3x2 = -8 + 10x + 3x2 + 8 + -10x + -3x2

Reorder the terms:
8 + -10x + -3x2 = -8 + 8 + 10x + -10x + 3x2 + -3x2

Combine like terms: -8 + 8 = 0
8 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2
8 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
8 + -10x + -3x2 = 0 + 3x2 + -3x2
8 + -10x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
8 + -10x + -3x2 = 0

Factor a trinomial.
(2 + -3x)(4 + x) = 0


Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0.6666666667, -4}

See similar equations:

| 6r+12r-98r+10+r=0 | | x^2+14x=10 | | 2n+3+4n=2n+5+4n-2 | | x^2-3x-22=0 | | x^3-8x^2-9x=0 | | q-3+6q-9-8r+10+r=0 | | x^3-x^2-30x=0 | | 8-x=2(2x+4) | | 3(2x-5)+4=4(6x+2)-1 | | 16-2x=8x+16 | | m^2-2m-3=0 | | 4y^2-12y-2=0 | | 14+2v=6+4v | | 20(105)=(20+5)(20+y) | | -37=3x+11-17x | | 4x-28=52 | | m-1=5+3m | | 2+1=18y-1+1 | | G=r(14+10r)+(1-r)(6-14r) | | 9x+9=5x+45 | | G=r(10+10r)+(1-r)(5-10r) | | x^4+4x^2+4=0 | | G=r(9+16r)+(1-r)(10-9r) | | 3x+1=7-x+5x | | 3-r=1-r | | 3a+3b-3a-b= | | x^5-6x^4+9x^3+10x^2-36x+24=0 | | 3x^2+6x+10=0 | | 5b+4b=12+7b | | 0.80y-17+y=2y-9-0.4y | | G=r(12+12r)+(1-r)(9-12r) | | 6x-1=-11 |

Equations solver categories