0=3x^2+19x-40

Simple and best practice solution for 0=3x^2+19x-40 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+19x-40 equation: 


Simplifying
0 = 3x2 + 19x + -40

Reorder the terms:
0 = -40 + 19x + 3x2

Solving
0 = -40 + 19x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + -19x + -3x2 = -40 + 19x + 3x2 + 40 + -19x + -3x2

Reorder the terms:
40 + -19x + -3x2 = -40 + 40 + 19x + -19x + 3x2 + -3x2

Combine like terms: -40 + 40 = 0
40 + -19x + -3x2 = 0 + 19x + -19x + 3x2 + -3x2
40 + -19x + -3x2 = 19x + -19x + 3x2 + -3x2

Combine like terms: 19x + -19x = 0
40 + -19x + -3x2 = 0 + 3x2 + -3x2
40 + -19x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
40 + -19x + -3x2 = 0

Factor a trinomial.
(5 + -3x)(8 + x) = 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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {1.666666667, -8}

See similar equations:

| 2d+5.15=21.99 | | -[5z-(10z+9)]=9+(4z+5) | | 3m-1.99=7.88 | | x+x+7=x+x+x-15 | | (3x-2)*(x^2-5x+1)= | | 14=2w | | 2[m-(4m+20)+10]=2(m+10) | | m^2=100 | | Kx=12 | | 3t-9=75 | | 84-36+24=396 | | p=3a+4b^2 | | 400-15=385 | | 4w+12=68 | | 5b-7=43 | | 7xy+8xy-9+10xy-11xy= | | 2y+3.25=24.65 | | -3/4x=-6 | | (2a^2+9a-10)*(13a^2-7a+11)*(a-3)= | | 2(2.5b-9)+6b= | | 9y-6x+18=0 | | 4p-2=12 | | 3(2x-5)=5(x-4)+x | | 3(v-5)-3=-5(-4v+6)-9v | | 5(x-4)-3x=30 | | 24x^2=x+3 | | 29+4y-2=17y-13-5y | | -5(1-5x)+5(-8-2x)=-4x-8x | | 8(2x+1)-3x=30 | | y-11y=7 | | 4+4x=x+25 | | 2+2x-2=5-2x+2 |

Equations solver categories