14*2=(6+x)x

Simple and best practice solution for 14*2=(6+x)x 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 14*2=(6+x)x equation:


Simplifying
14 * 2 = (6 + x) * x

Multiply 14 * 2
28 = (6 + x) * x

Reorder the terms for easier multiplication:
28 = x(6 + x)
28 = (6 * x + x * x)
28 = (6x + x2)

Solving
28 = 6x + x2

Solving for variable 'x'.

Reorder the terms:
28 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
28 + -6x + -1x2 = 0 + x2 + -1x2
28 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + -6x + -1x2 = 0

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

Divide each side by '-1'.
-28 + 6x + x2 = 0

Move the constant term to the right:

Add '28' to each side of the equation.
-28 + 6x + 28 + x2 = 0 + 28

Reorder the terms:
-28 + 28 + 6x + x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 6x + x2 = 0 + 28
6x + x2 = 0 + 28

Combine like terms: 0 + 28 = 28
6x + x2 = 28

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 = 28 + 9

Reorder the terms:
9 + 6x + x2 = 28 + 9

Combine like terms: 28 + 9 = 37
9 + 6x + x2 = 37

Factor a perfect square on the left side:
(x + 3)(x + 3) = 37

Calculate the square root of the right side: 6.08276253

Break this problem into two subproblems by setting 
(x + 3) equal to 6.08276253 and -6.08276253.

Subproblem 1

x + 3 = 6.08276253 Simplifying x + 3 = 6.08276253 Reorder the terms: 3 + x = 6.08276253 Solving 3 + x = 6.08276253 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 = 6.08276253 + -3 Combine like terms: 3 + -3 = 0 0 + x = 6.08276253 + -3 x = 6.08276253 + -3 Combine like terms: 6.08276253 + -3 = 3.08276253 x = 3.08276253 Simplifying x = 3.08276253

Subproblem 2

x + 3 = -6.08276253 Simplifying x + 3 = -6.08276253 Reorder the terms: 3 + x = -6.08276253 Solving 3 + x = -6.08276253 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 = -6.08276253 + -3 Combine like terms: 3 + -3 = 0 0 + x = -6.08276253 + -3 x = -6.08276253 + -3 Combine like terms: -6.08276253 + -3 = -9.08276253 x = -9.08276253 Simplifying x = -9.08276253

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.08276253, -9.08276253}

See similar equations:

| 129e=387 | | 6t-3=4t+5 | | 1/4x=6/7 | | (x^4/5)^3/7 | | 15x+3y=27 | | ((x^2)+(y^2))dx+((x^2)-(xy))dy=0 | | 5x+y-z=13 | | 30m=5x-6 | | (x+4)x=(x-5)(x-1) | | 9n-27=5n+5 | | 30x^2-37=0 | | 44x^2+16x=O | | x^2+6x-16=x+8 | | 1000=2129.75x+21028.35 | | =10002129.75x+21028.35 | | A/2-9 | | X-50/5 | | -2(v+4)-4v= | | A-3.21=16.05 | | 5(2y-2)-3(y+2)= | | (x^3)/3-(x^2)/2=0 | | -5(2)+21=6 | | -5x+21=6 | | 3n=5+7 | | 3x(x-1)(x-2)=0 | | 1/5-2/3 | | 1/5-2/36 | | 18x^2/3x^6= | | 37+4y-11=15y-14-3y | | y+9=-7(x-1) | | 3=3x+10 | | -15=2-3 |

Equations solver categories