0=6x^2-7x-20

Simple and best practice solution for 0=6x^2-7x-20 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^2-7x-20 equation: 


Simplifying
0 = 6x2 + -7x + -20

Reorder the terms:
0 = -20 + -7x + 6x2

Solving
0 = -20 + -7x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + 7x + -6x2 = -20 + -7x + 6x2 + 20 + 7x + -6x2

Reorder the terms:
20 + 7x + -6x2 = -20 + 20 + -7x + 7x + 6x2 + -6x2

Combine like terms: -20 + 20 = 0
20 + 7x + -6x2 = 0 + -7x + 7x + 6x2 + -6x2
20 + 7x + -6x2 = -7x + 7x + 6x2 + -6x2

Combine like terms: -7x + 7x = 0
20 + 7x + -6x2 = 0 + 6x2 + -6x2
20 + 7x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
20 + 7x + -6x2 = 0

Factor a trinomial.
(5 + -2x)(4 + 3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {2.5, -1.333333333}

See similar equations:

| -3x-110=-10x+93 | | 30/1+11/1= | | 5-2(x+3)=7x-4 | | 2(4x+5)=3(2x+6) | | 7t+(-4)=10t+14 | | 4(3x-3)+10=34 | | 5f+16=56 | | -7-5=4x+9-3x | | (4+x)*(4+y)=79 | | 3(x+12)=15 | | x/16=-10+30 | | x/16= | | 9000000+20000x=6000000 | | -3(x)=27 | | y=-2(-28)+8 | | 9x-7w+3x+8y+5y+5w= | | Y=2x^2+12x | | x(x-5)+3(x-5)=0 | | -6x-12=17-7x | | g-6.27=10.62 | | -8+5(2x-1)=17 | | 8+x=3x+6 | | -16-4x=-5x+9 | | 0=12x^2+16x-3 | | 5(3-u)+2u=5-2u | | 48-(4X+10)=4(X+5)+X | | 6a^3+18a^3=0 | | 6=6t+-60 | | (y-6)(y-2)=0 | | 2(x+4)+3x=38 | | 20x^2-13x-72= | | 1+5r=-5+2r |

Equations solver categories