12=6x+x^2

Simple and best practice solution for 12=6x+x^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 12=6x+x^2 equation:


Simplifying
12 = 6x + x2

Solving
12 = 6x + x2

Solving for variable 'x'.

Reorder the terms:
12 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
12 + -6x + -1x2 = 0 + x2 + -1x2
12 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-12 + 6x + x2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + 6x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + 6x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 6x + x2 = 0 + 12
6x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
6x + x2 = 12

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 12 + 9

Reorder the terms:
9 + 6x + x2 = 12 + 9

Combine like terms: 12 + 9 = 21
9 + 6x + x2 = 21

Factor a perfect square on the left side:
(x + 3)(x + 3) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + 3) equal to 4.582575695 and -4.582575695.

Subproblem 1

x + 3 = 4.582575695 Simplifying x + 3 = 4.582575695 Reorder the terms: 3 + x = 4.582575695 Solving 3 + x = 4.582575695 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 4.582575695 + -3 Combine like terms: 3 + -3 = 0 0 + x = 4.582575695 + -3 x = 4.582575695 + -3 Combine like terms: 4.582575695 + -3 = 1.582575695 x = 1.582575695 Simplifying x = 1.582575695

Subproblem 2

x + 3 = -4.582575695 Simplifying x + 3 = -4.582575695 Reorder the terms: 3 + x = -4.582575695 Solving 3 + x = -4.582575695 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -4.582575695 + -3 Combine like terms: 3 + -3 = 0 0 + x = -4.582575695 + -3 x = -4.582575695 + -3 Combine like terms: -4.582575695 + -3 = -7.582575695 x = -7.582575695 Simplifying x = -7.582575695

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.582575695, -7.582575695}

See similar equations:

| 7+5-3=13 | | 12x-4=8x-24 | | -2(-d)= | | 13+3+8=6 | | f(x)=x^2-8x+21 | | 3(m+1)-2m=6 | | 11x+2z=52 | | f(x)=x^2-8x+wq | | 7=3+7-8 | | 4(3n+2)=4(-8-7n) | | (8p+24)=11p+3 | | 5=6-3 | | f(x)=2(0.6)x | | 5-4+2=8 | | sinx*cosx=1 | | -27+4n=-48 | | -9(2-3r)=4-5(8r-9) | | 45=3x-5+3 | | 20=2w-14 | | -27+4n=-33 | | X+a=2.5Y+a | | 2x^2+19x+3=0 | | 2(6+4k)= | | 93+76+14x+-7+-2+11x=360 | | (2c^2+6+4)+(5c^2-7)= | | -2p-6p=-6(5p+2)+5(-6+5p) | | (x-1)(x+1)+4=6x | | 0.9z+8.25=1.5(2-2z) | | 5(3n+4)= | | 2a+(4-a)=3-(3a-6) | | 10-12=-5x+7x-10 | | H=-16t^2+100t+5 |

Equations solver categories