2x(x+6)-7=6x

Simple and best practice solution for 2x(x+6)-7=6x 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 2x(x+6)-7=6x equation:


Simplifying
2x(x + 6) + -7 = 6x

Reorder the terms:
2x(6 + x) + -7 = 6x
(6 * 2x + x * 2x) + -7 = 6x
(12x + 2x2) + -7 = 6x

Reorder the terms:
-7 + 12x + 2x2 = 6x

Solving
-7 + 12x + 2x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-7 + 12x + -6x + 2x2 = 6x + -6x

Combine like terms: 12x + -6x = 6x
-7 + 6x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + 6x + 2x2 = 0

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

Divide each side by '2'.
-3.5 + 3x + x2 = 0

Move the constant term to the right:

Add '3.5' to each side of the equation.
-3.5 + 3x + 3.5 + x2 = 0 + 3.5

Reorder the terms:
-3.5 + 3.5 + 3x + x2 = 0 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 3x + x2 = 0 + 3.5
3x + x2 = 0 + 3.5

Combine like terms: 0 + 3.5 = 3.5
3x + x2 = 3.5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 3.5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 3.5 + 2.25

Combine like terms: 3.5 + 2.25 = 5.75
2.25 + 3x + x2 = 5.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 5.75

Calculate the square root of the right side: 2.397915762

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.397915762 and -2.397915762.

Subproblem 1

x + 1.5 = 2.397915762 Simplifying x + 1.5 = 2.397915762 Reorder the terms: 1.5 + x = 2.397915762 Solving 1.5 + x = 2.397915762 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 2.397915762 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 2.397915762 + -1.5 x = 2.397915762 + -1.5 Combine like terms: 2.397915762 + -1.5 = 0.897915762 x = 0.897915762 Simplifying x = 0.897915762

Subproblem 2

x + 1.5 = -2.397915762 Simplifying x + 1.5 = -2.397915762 Reorder the terms: 1.5 + x = -2.397915762 Solving 1.5 + x = -2.397915762 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -2.397915762 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -2.397915762 + -1.5 x = -2.397915762 + -1.5 Combine like terms: -2.397915762 + -1.5 = -3.897915762 x = -3.897915762 Simplifying x = -3.897915762

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.897915762, -3.897915762}

See similar equations:

| 0=-16x^2+30x+6 | | 3x+6x=43 | | -2(3-5r)= | | 50-5r=87.5 | | 10k^2+5k=-11 | | 90-24=m | | x^2-1.2+0.36= | | -6(-8-9g)= | | x-5.2=(-18.73) | | Q=250-0.7P | | p=45-3q | | 2+t=8 | | 33x^2-6=0 | | 4(x+3)(3x-2)= | | 20x-(9x-5)=71 | | 3y^2-18y+27=0 | | 5x^2+30x-99=0 | | (X^4+xy^3)(x^2+y^3)= | | 0.06(2t+8)=12(t+1)+0.36 | | 90-20.8=c | | 6-6x-4x+8x+18=12 | | (12a+4)(3a-3a-1)=0 | | 53=29-3(x-3) | | 4+-2t= | | 81x-2(x-1)=90 | | 14+2x=3x-8 | | -5t-8=-3t-12 | | 13y+14=9y+12 | | 10w-3w-3w+2=18 | | -3a+6a+2a=8y-4a | | x+4(.41176705882529)=1 | | 0=4x+1 |

Equations solver categories