0=3*x^2+6*x-189

Simple and best practice solution for 0=3*x^2+6*x-189 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=3*x^2+6*x-189 equation: 


Simplifying
0 = 3x2 + 6x + -189

Reorder the terms:
0 = -189 + 6x + 3x2

Solving
0 = -189 + 6x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 189 = 189
189 + -6x + -3x2 = -189 + 6x + 3x2 + 189 + -6x + -3x2

Reorder the terms:
189 + -6x + -3x2 = -189 + 189 + 6x + -6x + 3x2 + -3x2

Combine like terms: -189 + 189 = 0
189 + -6x + -3x2 = 0 + 6x + -6x + 3x2 + -3x2
189 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
189 + -6x + -3x2 = 0 + 3x2 + -3x2
189 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
189 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(63 + -2x + -1x2) = 0

Factor a trinomial.
3((7 + -1x)(9 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {7, -9}

See similar equations:

| -9-k=11 | | G-51.3=6.7g | | 4x+10+5y=30 | | 6(2x+3)=4(x-2) | | 20a+10=5a+1 | | 5n+35=4 | | 12+p=30 | | -6x-26-7x=-3x-50+2x | | 2?2+?2= | | ?2+?2= | | ?2+?2*5= | | ?2+5?2= | | ?2+5?3= | | 2+2+(2y*2)= | | (2x-3)(5x+6)= | | 3(2-(3j-6))+4(6j-(j-2j))=4-5j | | 2x+2+(2*2)= | | 9y+5x=-45 | | -4+3z-1=2x+1+2x | | 2?3+5?5= | | 120=1.2x-x | | 24=x^2+4 | | 48=x^2+4 | | 96=x^2+4 | | x-(x-110)=180 | | 40h-(24-(6h+8)-(5-2h))=3-(8h-12) | | 84=x^2+5x | | 3(7x*21)=9 | | 6x-3+7=12x-11 | | 7056=x^2+5x | | -(x+3)=-2x-6 | | ax+2bx+a+2b=0 |

Equations solver categories