8x^2-0.66x=0.33+7x^2

Simple and best practice solution for 8x^2-0.66x=0.33+7x^2 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 8x^2-0.66x=0.33+7x^2 equation: 


Simplifying
8x2 + -0.66x = 0.33 + 7x2

Reorder the terms:
-0.66x + 8x2 = 0.33 + 7x2

Solving
-0.66x + 8x2 = 0.33 + 7x2

Solving for variable 'x'.

Reorder the terms:
-0.33 + -0.66x + 8x2 + -7x2 = 0.33 + 7x2 + -0.33 + -7x2

Combine like terms: 8x2 + -7x2 = 1x2
-0.33 + -0.66x + 1x2 = 0.33 + 7x2 + -0.33 + -7x2

Reorder the terms:
-0.33 + -0.66x + 1x2 = 0.33 + -0.33 + 7x2 + -7x2

Combine like terms: 0.33 + -0.33 = 0.00
-0.33 + -0.66x + 1x2 = 0.00 + 7x2 + -7x2
-0.33 + -0.66x + 1x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-0.33 + -0.66x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '0.33' to each side of the equation.
-0.33 + -0.66x + 0.33 + x2 = 0 + 0.33

Reorder the terms:
-0.33 + 0.33 + -0.66x + x2 = 0 + 0.33

Combine like terms: -0.33 + 0.33 = 0.00
0.00 + -0.66x + x2 = 0 + 0.33
-0.66x + x2 = 0 + 0.33

Combine like terms: 0 + 0.33 = 0.33
-0.66x + x2 = 0.33

The x term is -0.66x.  Take half its coefficient (-0.33).
Square it (0.1089) and add it to both sides.

Add '0.1089' to each side of the equation.
-0.66x + 0.1089 + x2 = 0.33 + 0.1089

Reorder the terms:
0.1089 + -0.66x + x2 = 0.33 + 0.1089

Combine like terms: 0.33 + 0.1089 = 0.4389
0.1089 + -0.66x + x2 = 0.4389

Factor a perfect square on the left side:
(x + -0.33)(x + -0.33) = 0.4389

Calculate the square root of the right side: 0.662495283

Break this problem into two subproblems by setting 
(x + -0.33) equal to 0.662495283 and -0.662495283.


Subproblem 1
x + -0.33 = 0.662495283

Simplifying
x + -0.33 = 0.662495283

Reorder the terms:
-0.33 + x = 0.662495283

Solving
-0.33 + x = 0.662495283

Solving for variable 'x'.

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

Add '0.33' to each side of the equation.
-0.33 + 0.33 + x = 0.662495283 + 0.33

Combine like terms: -0.33 + 0.33 = 0.00
0.00 + x = 0.662495283 + 0.33
x = 0.662495283 + 0.33

Combine like terms: 0.662495283 + 0.33 = 0.992495283
x = 0.992495283

Simplifying
x = 0.992495283


Subproblem 2
x + -0.33 = -0.662495283

Simplifying
x + -0.33 = -0.662495283

Reorder the terms:
-0.33 + x = -0.662495283

Solving
-0.33 + x = -0.662495283

Solving for variable 'x'.

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

Add '0.33' to each side of the equation.
-0.33 + 0.33 + x = -0.662495283 + 0.33

Combine like terms: -0.33 + 0.33 = 0.00
0.00 + x = -0.662495283 + 0.33
x = -0.662495283 + 0.33

Combine like terms: -0.662495283 + 0.33 = -0.332495283
x = -0.332495283

Simplifying
x = -0.332495283


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.992495283, -0.332495283}

See similar equations:

| 3x+9+4x+x=6x+7 | | -0.2(10h-20)=-9h+3-2h | | 3x+9+4x+x=6x+3 | | Y-b/c=10 | | -5(p+1)=4-(5-2p) | | 37m^2+2m=0 | | 7.7x+6.83=-33.21 | | 3x+9+4x+x=8x+3 | | y=17+c | | 9p-2/3=5/6 | | 4y-10=9x+12 | | Y+q=p | | u^2+21u=0 | | -2/3x=-9 | | -6(2p+3)-18=3(5p+6) | | 14x-21y+7z= | | d^2-17d=0 | | 5+1x=8+0.75x | | p^2+13p=0 | | 7!/(45-7)7! | | 6(c-4)+9=6+c-21 | | 11+2=54 | | -45=n/9-63 | | 4x+17+1x=-3x | | 31d^2+25d=0 | | -[-(a-2b)-(a+2b)-(-a-3b)]= | | X/8-1/6=1/12 | | 12z=-4 | | 3(2*4x+7)=5*4+21+4 | | 16(d+2)=-94-3d | | -10m+5m=15-60 | | (X^29)^1/2 |

Equations solver categories