4x^2-23x+12=6x+8

Simple and best practice solution for 4x^2-23x+12=6x+8 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 4x^2-23x+12=6x+8 equation:


Simplifying
4x2 + -23x + 12 = 6x + 8

Reorder the terms:
12 + -23x + 4x2 = 6x + 8

Reorder the terms:
12 + -23x + 4x2 = 8 + 6x

Solving
12 + -23x + 4x2 = 8 + 6x

Solving for variable 'x'.

Reorder the terms:
12 + -8 + -23x + -6x + 4x2 = 8 + 6x + -8 + -6x

Combine like terms: 12 + -8 = 4
4 + -23x + -6x + 4x2 = 8 + 6x + -8 + -6x

Combine like terms: -23x + -6x = -29x
4 + -29x + 4x2 = 8 + 6x + -8 + -6x

Reorder the terms:
4 + -29x + 4x2 = 8 + -8 + 6x + -6x

Combine like terms: 8 + -8 = 0
4 + -29x + 4x2 = 0 + 6x + -6x
4 + -29x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -29x + 4x2 = 0

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

Divide each side by '4'.
1 + -7.25x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -7.25x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -7.25x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7.25x + x2 = 0 + -1
-7.25x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-7.25x + x2 = -1

The x term is -7.25x.  Take half its coefficient (-3.625).
Square it (13.140625) and add it to both sides.

Add '13.140625' to each side of the equation.
-7.25x + 13.140625 + x2 = -1 + 13.140625

Reorder the terms:
13.140625 + -7.25x + x2 = -1 + 13.140625

Combine like terms: -1 + 13.140625 = 12.140625
13.140625 + -7.25x + x2 = 12.140625

Factor a perfect square on the left side:
(x + -3.625)(x + -3.625) = 12.140625

Calculate the square root of the right side: 3.484339966

Break this problem into two subproblems by setting 
(x + -3.625) equal to 3.484339966 and -3.484339966.

Subproblem 1

x + -3.625 = 3.484339966 Simplifying x + -3.625 = 3.484339966 Reorder the terms: -3.625 + x = 3.484339966 Solving -3.625 + x = 3.484339966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.625' to each side of the equation. -3.625 + 3.625 + x = 3.484339966 + 3.625 Combine like terms: -3.625 + 3.625 = 0.000 0.000 + x = 3.484339966 + 3.625 x = 3.484339966 + 3.625 Combine like terms: 3.484339966 + 3.625 = 7.109339966 x = 7.109339966 Simplifying x = 7.109339966

Subproblem 2

x + -3.625 = -3.484339966 Simplifying x + -3.625 = -3.484339966 Reorder the terms: -3.625 + x = -3.484339966 Solving -3.625 + x = -3.484339966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.625' to each side of the equation. -3.625 + 3.625 + x = -3.484339966 + 3.625 Combine like terms: -3.625 + 3.625 = 0.000 0.000 + x = -3.484339966 + 3.625 x = -3.484339966 + 3.625 Combine like terms: -3.484339966 + 3.625 = 0.140660034 x = 0.140660034 Simplifying x = 0.140660034

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.109339966, 0.140660034}

See similar equations:

| 2/9+1/9 | | -3.4q+1.1=-20.9-1.4q | | x-.75x=225 | | x-.15x=425 | | x-.25x=615 | | 7+12=-8 | | x^2-5x+7=-8x+5 | | x+5-2=12 | | 10/8=x/7 | | 180-x=6*(90-x) | | x+x/2+3+(x/2+3)/2+1=30 | | -8b+2+6b=-3+7 | | 16k+8-8k+16=6k+12-1 | | 180-x=4*(90-x) | | 7x+12=-8 | | 1630/6=291/1 | | x+x/2+3+(x2+3)/2+1=30 | | 1630/6=237/1 | | 1630/6=272/1 | | -7x-22=-1 | | 2/3=1/2+f | | 1630/6=325/1 | | 2y+4=3(y+2) | | X^3+x^2=256 | | 2(4x+35)+2x=770 | | 4x+12=118-9x | | 2(4x+35)+4x=770 | | 0.5x+0.25(130)=0.25(128) | | 8b=-128 | | 6x^5-13x^3+4x^2= | | b-9=17 | | -6w+4=-8w-14 |

Equations solver categories