6x^2=3-8x

Simple and best practice solution for 6x^2=3-8x 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=3-8x equation:


Simplifying
6x2 = 3 + -8x

Solving
6x2 = 3 + -8x

Solving for variable 'x'.

Reorder the terms:
-3 + 8x + 6x2 = 3 + -8x + -3 + 8x

Reorder the terms:
-3 + 8x + 6x2 = 3 + -3 + -8x + 8x

Combine like terms: 3 + -3 = 0
-3 + 8x + 6x2 = 0 + -8x + 8x
-3 + 8x + 6x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 8x + 6x2 = 0

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

Divide each side by '6'.
-0.5 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 1.333333333x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 1.333333333x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.333333333x + x2 = 0 + 0.5
1.333333333x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
1.333333333x + x2 = 0.5

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = 0.5 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = 0.5 + 0.4444444442

Combine like terms: 0.5 + 0.4444444442 = 0.9444444442
0.4444444442 + 1.333333333x + x2 = 0.9444444442

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = 0.9444444442

Calculate the square root of the right side: 0.971825316

Break this problem into two subproblems by setting 
(x + 0.6666666665) equal to 0.971825316 and -0.971825316.

Subproblem 1

x + 0.6666666665 = 0.971825316 Simplifying x + 0.6666666665 = 0.971825316 Reorder the terms: 0.6666666665 + x = 0.971825316 Solving 0.6666666665 + x = 0.971825316 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + x = 0.971825316 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = 0.971825316 + -0.6666666665 x = 0.971825316 + -0.6666666665 Combine like terms: 0.971825316 + -0.6666666665 = 0.3051586495 x = 0.3051586495 Simplifying x = 0.3051586495

Subproblem 2

x + 0.6666666665 = -0.971825316 Simplifying x + 0.6666666665 = -0.971825316 Reorder the terms: 0.6666666665 + x = -0.971825316 Solving 0.6666666665 + x = -0.971825316 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + x = -0.971825316 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = -0.971825316 + -0.6666666665 x = -0.971825316 + -0.6666666665 Combine like terms: -0.971825316 + -0.6666666665 = -1.6384919825 x = -1.6384919825 Simplifying x = -1.6384919825

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.3051586495, -1.6384919825}

See similar equations:

| 6+2(5-3a)=2a(2+8) | | 2r^2+1r-45=0 | | 5a^2-5a-100=0 | | 4x+36+x=1.2 | | 8x^2+11x-11x-10=0 | | 2(8s+8)-7s=3(3s+6)-22 | | a^2=3ab-4a-12b | | 7a^2+1a-6=0 | | 5(1.2k+6)=7.1k+34 | | 6+3x+x=-x+-26+24 | | n-30=14-3n | | 10=6w+2w-30 | | 3n^2+40n+100=0 | | 4B+5B-1=17 | | m^2=27-6m | | 4x^2-56x+196=0 | | p=4/3 | | 4t-20+2t=28 | | 5n^2-13n+6=0 | | x-4(1+5x)=-2 | | -8(n+4)=-9n | | (y-11)-(y+4)=4y | | p=11/3+7/8+11/3+7/8 | | 28-0.8x=0.7y-12 | | 5u+3u-4u-20=4 | | 4x=-56y+36 | | 3n^2+16n+16=0 | | 6s=54 | | 4n=14-2n | | 3u+v=-6 | | 5z^2+10z-120=0 | | s+3s+5=8 |

Equations solver categories