3x^2-19x-70=0

Simple and best practice solution for 3x^2-19x-70=0 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 3x^2-19x-70=0 equation: 


Simplifying
3x2 + -19x + -70 = 0

Reorder the terms:
-70 + -19x + 3x2 = 0

Solving
-70 + -19x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-23.33333333 + -6.333333333x + x2 = 0

Move the constant term to the right:

Add '23.33333333' to each side of the equation.
-23.33333333 + -6.333333333x + 23.33333333 + x2 = 0 + 23.33333333

Reorder the terms:
-23.33333333 + 23.33333333 + -6.333333333x + x2 = 0 + 23.33333333

Combine like terms: -23.33333333 + 23.33333333 = 0.00000000
0.00000000 + -6.333333333x + x2 = 0 + 23.33333333
-6.333333333x + x2 = 0 + 23.33333333

Combine like terms: 0 + 23.33333333 = 23.33333333
-6.333333333x + x2 = 23.33333333

The x term is -6.333333333x.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333x + 10.02777778 + x2 = 23.33333333 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333x + x2 = 23.33333333 + 10.02777778

Combine like terms: 23.33333333 + 10.02777778 = 33.36111111
10.02777778 + -6.333333333x + x2 = 33.36111111

Factor a perfect square on the left side:
(x + -3.166666667)(x + -3.166666667) = 33.36111111

Calculate the square root of the right side: 5.775907817

Break this problem into two subproblems by setting 
(x + -3.166666667) equal to 5.775907817 and -5.775907817.


Subproblem 1
x + -3.166666667 = 5.775907817

Simplifying
x + -3.166666667 = 5.775907817

Reorder the terms:
-3.166666667 + x = 5.775907817

Solving
-3.166666667 + x = 5.775907817

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = 5.775907817 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = 5.775907817 + 3.166666667
x = 5.775907817 + 3.166666667

Combine like terms: 5.775907817 + 3.166666667 = 8.942574484
x = 8.942574484

Simplifying
x = 8.942574484


Subproblem 2
x + -3.166666667 = -5.775907817

Simplifying
x + -3.166666667 = -5.775907817

Reorder the terms:
-3.166666667 + x = -5.775907817

Solving
-3.166666667 + x = -5.775907817

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = -5.775907817 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = -5.775907817 + 3.166666667
x = -5.775907817 + 3.166666667

Combine like terms: -5.775907817 + 3.166666667 = -2.60924115
x = -2.60924115

Simplifying
x = -2.60924115


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.942574484, -2.60924115}

See similar equations:

| xy+y=yx | | a^3+6a^2+5a-12=0 | | r-4+r=12 | | -11.2+4(2.1-q)=-0.8 | | x+(3x+6)=10 | | 9(5c-1)-10=43c+9 | | 3x^3-10x^2+6x-56=0 | | 5(3+c)= | | -14.99=3.14+-11.85 | | 1+3n=180 | | P(x)=x^4+3x^3-39x^2-47x+210 | | 2c=c+3 | | 2(6.5x-10)=3x+20 | | -10-4a=5(-8a-8)-6 | | 3+0.5=1.50+1.25x | | 5-5=13x+10x | | -10-4a=5(8a-8)-6 | | 7=-.333t^2+7.333t | | -23-4= | | -1+1/5=-3 | | 4x^3+11x^2=3x | | 3=-2z-11 | | 69+32=a+42 | | 14-3x=40 | | 1185=15+45(x-2) | | -(n+7)-1=8+n | | 4x+4=16i | | 1.1m=0.5m-40 | | -13+w=-29 | | h(2h-1)= | | 5=v/8+4 | | 32-4x=-4(6x+7) |

Equations solver categories