2x^2+12x=7

Simple and best practice solution for 2x^2+12x=7 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^2+12x=7 equation:


Simplifying
2x2 + 12x = 7

Reorder the terms:
12x + 2x2 = 7

Solving
12x + 2x2 = 7

Solving for variable 'x'.

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

Combine like terms: 7 + -7 = 0
-7 + 12x + 2x2 = 0

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

Divide each side by '2'.
-3.5 + 6x + x2 = 0

Move the constant term to the right:

Add '3.5' to each side of the equation.
-3.5 + 6x + 3.5 + x2 = 0 + 3.5

Reorder the terms:
-3.5 + 3.5 + 6x + x2 = 0 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 6x + x2 = 0 + 3.5
6x + x2 = 0 + 3.5

Combine like terms: 0 + 3.5 = 3.5
6x + x2 = 3.5

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 = 3.5 + 9

Reorder the terms:
9 + 6x + x2 = 3.5 + 9

Combine like terms: 3.5 + 9 = 12.5
9 + 6x + x2 = 12.5

Factor a perfect square on the left side:
(x + 3)(x + 3) = 12.5

Calculate the square root of the right side: 3.535533906

Break this problem into two subproblems by setting 
(x + 3) equal to 3.535533906 and -3.535533906.

Subproblem 1

x + 3 = 3.535533906 Simplifying x + 3 = 3.535533906 Reorder the terms: 3 + x = 3.535533906 Solving 3 + x = 3.535533906 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 = 3.535533906 + -3 Combine like terms: 3 + -3 = 0 0 + x = 3.535533906 + -3 x = 3.535533906 + -3 Combine like terms: 3.535533906 + -3 = 0.535533906 x = 0.535533906 Simplifying x = 0.535533906

Subproblem 2

x + 3 = -3.535533906 Simplifying x + 3 = -3.535533906 Reorder the terms: 3 + x = -3.535533906 Solving 3 + x = -3.535533906 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 = -3.535533906 + -3 Combine like terms: 3 + -3 = 0 0 + x = -3.535533906 + -3 x = -3.535533906 + -3 Combine like terms: -3.535533906 + -3 = -6.535533906 x = -6.535533906 Simplifying x = -6.535533906

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.535533906, -6.535533906}

See similar equations:

| 6(3z-1)-5(z+8)=3(z+1) | | p-23.6=-19.1 | | 4-4=17x+3x | | 7w+4=6w+8 | | b^2=8+8b-50-5 | | 10w-12-9w=6-3 | | -8.8+6.8=7w+3.7-6w | | 5(3x+6)-14x=50-7 | | 6x-60=180 | | 6x-60+6=180 | | 5x-25+3x+11=180 | | 9=12+b | | 3x^2+px+4=0 | | 4x+2(x-6)=36 | | a=2bc+d | | 9x-4(x-2)=x-20 | | 4x+12+2x=180 | | 10x-8=9x+8 | | -5(1-5x)+5(-8-2)=-4x-8lc | | 2X-4-6X+8= | | a=3b-2c | | b^2=8+2b+6-5 | | -11-8t=7(t+3) | | 7x-21=5x+13 | | 7x-21+5x+13=180 | | 4x^2+11-3=0 | | X^2-23x+150= | | -5=-12+b | | x-6(x-5)=15 | | z-1.3=-4 | | 2/3(x-2)=4x | | (2x+1)(2x+3)(x-1)(x-2)=150 |

Equations solver categories