6x^2-35x-4=0

Simple and best practice solution for 6x^2-35x-4=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 6x^2-35x-4=0 equation: 


Simplifying
6x2 + -35x + -4 = 0

Reorder the terms:
-4 + -35x + 6x2 = 0

Solving
-4 + -35x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-0.6666666667 + -5.833333333x + x2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + -5.833333333x + 0.6666666667 + x2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + -5.833333333x + x2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + -5.833333333x + x2 = 0 + 0.6666666667
-5.833333333x + x2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
-5.833333333x + x2 = 0.6666666667

The x term is -5.833333333x.  Take half its coefficient (-2.916666667).
Square it (8.506944446) and add it to both sides.

Add '8.506944446' to each side of the equation.
-5.833333333x + 8.506944446 + x2 = 0.6666666667 + 8.506944446

Reorder the terms:
8.506944446 + -5.833333333x + x2 = 0.6666666667 + 8.506944446

Combine like terms: 0.6666666667 + 8.506944446 = 9.1736111127
8.506944446 + -5.833333333x + x2 = 9.1736111127

Factor a perfect square on the left side:
(x + -2.916666667)(x + -2.916666667) = 9.1736111127

Calculate the square root of the right side: 3.028796974

Break this problem into two subproblems by setting 
(x + -2.916666667) equal to 3.028796974 and -3.028796974.


Subproblem 1
x + -2.916666667 = 3.028796974

Simplifying
x + -2.916666667 = 3.028796974

Reorder the terms:
-2.916666667 + x = 3.028796974

Solving
-2.916666667 + x = 3.028796974

Solving for variable 'x'.

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

Add '2.916666667' to each side of the equation.
-2.916666667 + 2.916666667 + x = 3.028796974 + 2.916666667

Combine like terms: -2.916666667 + 2.916666667 = 0.000000000
0.000000000 + x = 3.028796974 + 2.916666667
x = 3.028796974 + 2.916666667

Combine like terms: 3.028796974 + 2.916666667 = 5.945463641
x = 5.945463641

Simplifying
x = 5.945463641


Subproblem 2
x + -2.916666667 = -3.028796974

Simplifying
x + -2.916666667 = -3.028796974

Reorder the terms:
-2.916666667 + x = -3.028796974

Solving
-2.916666667 + x = -3.028796974

Solving for variable 'x'.

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

Add '2.916666667' to each side of the equation.
-2.916666667 + 2.916666667 + x = -3.028796974 + 2.916666667

Combine like terms: -2.916666667 + 2.916666667 = 0.000000000
0.000000000 + x = -3.028796974 + 2.916666667
x = -3.028796974 + 2.916666667

Combine like terms: -3.028796974 + 2.916666667 = -0.112130307
x = -0.112130307

Simplifying
x = -0.112130307


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.945463641, -0.112130307}

See similar equations:

| -2(2s-2)-4=-2(5s+1)-3 | | log(2+x)-log(x-2)=log(3) | | 3(m+4)-5m=8 | | 2x+5-10x+1=0 | | 8=4x-5 | | -4.9x^2+12x-600=0 | | 9x^2+33x=12 | | 3y+5x=4 | | (x+1)(x+2)=6x | | 4(t-3)+4t=4(2t+3)-9 | | 25m^2+30m+9=0 | | t-6=78 | | 2x-30+x+15=90 | | 2x-30+x+15=180 | | 4x=1024 | | 3x-15+2x+10=180 | | 4z+2=2(z+3) | | -2(3s-1)-2=-3(6s+6) | | 2(x+7)=3(x-2) | | 4z+2=2(3+z) | | x^2+4x+y^2=0 | | 6x^2+4=11x | | m^2+5m+3=0 | | 5(2x-1)=29 | | 3x+1=x-8 | | x^2+16+5=0 | | -x-8y=22 | | x^2-16+5=0 | | -5x-5y=-15 | | 6x+2x=90 | | rad(x)+11=x+5 | | 4x^5-8x^4-2x^2=0 |

Equations solver categories