6x^2-11x+20=2-95x

Simple and best practice solution for 6x^2-11x+20=2-95x 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^2-11x+20=2-95x equation: 


Simplifying
6x2 + -11x + 20 = 2 + -95x

Reorder the terms:
20 + -11x + 6x2 = 2 + -95x

Solving
20 + -11x + 6x2 = 2 + -95x

Solving for variable 'x'.

Reorder the terms:
20 + -2 + -11x + 95x + 6x2 = 2 + -95x + -2 + 95x

Combine like terms: 20 + -2 = 18
18 + -11x + 95x + 6x2 = 2 + -95x + -2 + 95x

Combine like terms: -11x + 95x = 84x
18 + 84x + 6x2 = 2 + -95x + -2 + 95x

Reorder the terms:
18 + 84x + 6x2 = 2 + -2 + -95x + 95x

Combine like terms: 2 + -2 = 0
18 + 84x + 6x2 = 0 + -95x + 95x
18 + 84x + 6x2 = -95x + 95x

Combine like terms: -95x + 95x = 0
18 + 84x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + 14x + x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(3 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
3 + 14x + x2 = 0

Solving
3 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 14x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 14x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 14x + x2 = 0 + -3
14x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
14x + x2 = -3

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -3 + 49

Reorder the terms:
49 + 14x + x2 = -3 + 49

Combine like terms: -3 + 49 = 46
49 + 14x + x2 = 46

Factor a perfect square on the left side:
(x + 7)(x + 7) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + 7) equal to 6.782329983 and -6.782329983.


Subproblem 1
x + 7 = 6.782329983

Simplifying
x + 7 = 6.782329983

Reorder the terms:
7 + x = 6.782329983

Solving
7 + x = 6.782329983

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = 6.782329983 + -7

Combine like terms: 7 + -7 = 0
0 + x = 6.782329983 + -7
x = 6.782329983 + -7

Combine like terms: 6.782329983 + -7 = -0.217670017
x = -0.217670017

Simplifying
x = -0.217670017


Subproblem 2
x + 7 = -6.782329983

Simplifying
x + 7 = -6.782329983

Reorder the terms:
7 + x = -6.782329983

Solving
7 + x = -6.782329983

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = -6.782329983 + -7

Combine like terms: 7 + -7 = 0
0 + x = -6.782329983 + -7
x = -6.782329983 + -7

Combine like terms: -6.782329983 + -7 = -13.782329983
x = -13.782329983

Simplifying
x = -13.782329983


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.217670017, -13.782329983}
Solution
x = {-0.217670017, -13.782329983}

See similar equations:

| 6x-11x+20=2-95x | | x+2y=34 | | 6x-10=12+4x | | 6x=2x+80 | | 5(2x+1)-3(x-3)=35 | | 8(x-1)-2(3x-2)=2 | | 2(3x-2)-3(x+1)=-7 | | -10.3+y=5.2 | | 5x+4y=435 | | 3(2x+4)-4(x+2)=6 | | 2x+4y=300 | | 2(x-4)+3(x-1)=-21 | | 2(2x+3)+3(4x-1)=51 | | (X+2)(4x-1)=0 | | 3(2x+3)+2(x+4)=25 | | 10(a+2)=20 | | 6(m-3)=6 | | 4(a-2)=12 | | 7x-5=-2x+13 | | 4(2x+1)=2(2x+2) | | 2x-5=-x-2 | | 8x=3x+25 | | 9x^2-54x+69=0 | | 2x+4+4x=20 | | 6x-7y=15 | | 2X=59 | | 7x^2+2x+12=0 | | 3x^2-12x+44=0 | | 6x-4=5*(3+2x) | | ln(5x-7)=4 | | 2*(4x-30)+2=3*(3x-3) | | 4x^2-20x-3=0 |

Equations solver categories