x*x+(x+2)(x+2)=346

Simple and best practice solution for x*x+(x+2)(x+2)=346 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 x*x+(x+2)(x+2)=346 equation: 


Simplifying
x * x + (x + 2)(x + 2) = 346

Multiply x * x
x2 + (x + 2)(x + 2) = 346

Reorder the terms:
x2 + (2 + x)(x + 2) = 346

Reorder the terms:
x2 + (2 + x)(2 + x) = 346

Multiply (2 + x) * (2 + x)
x2 + (2(2 + x) + x(2 + x)) = 346
x2 + ((2 * 2 + x * 2) + x(2 + x)) = 346
x2 + ((4 + 2x) + x(2 + x)) = 346
x2 + (4 + 2x + (2 * x + x * x)) = 346
x2 + (4 + 2x + (2x + x2)) = 346

Combine like terms: 2x + 2x = 4x
x2 + (4 + 4x + x2) = 346

Reorder the terms:
4 + 4x + x2 + x2 = 346

Combine like terms: x2 + x2 = 2x2
4 + 4x + 2x2 = 346

Solving
4 + 4x + 2x2 = 346

Solving for variable 'x'.

Reorder the terms:
4 + -346 + 4x + 2x2 = 346 + -346

Combine like terms: 4 + -346 = -342
-342 + 4x + 2x2 = 346 + -346

Combine like terms: 346 + -346 = 0
-342 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-171 + 2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-171 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
-171 + 2x + x2 = 0

Solving
-171 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '171' to each side of the equation.
-171 + 2x + 171 + x2 = 0 + 171

Reorder the terms:
-171 + 171 + 2x + x2 = 0 + 171

Combine like terms: -171 + 171 = 0
0 + 2x + x2 = 0 + 171
2x + x2 = 0 + 171

Combine like terms: 0 + 171 = 171
2x + x2 = 171

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 171 + 1

Reorder the terms:
1 + 2x + x2 = 171 + 1

Combine like terms: 171 + 1 = 172
1 + 2x + x2 = 172

Factor a perfect square on the left side:
(x + 1)(x + 1) = 172

Calculate the square root of the right side: 13.114877049

Break this problem into two subproblems by setting 
(x + 1) equal to 13.114877049 and -13.114877049.


Subproblem 1
x + 1 = 13.114877049

Simplifying
x + 1 = 13.114877049

Reorder the terms:
1 + x = 13.114877049

Solving
1 + x = 13.114877049

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 13.114877049 + -1

Combine like terms: 1 + -1 = 0
0 + x = 13.114877049 + -1
x = 13.114877049 + -1

Combine like terms: 13.114877049 + -1 = 12.114877049
x = 12.114877049

Simplifying
x = 12.114877049


Subproblem 2
x + 1 = -13.114877049

Simplifying
x + 1 = -13.114877049

Reorder the terms:
1 + x = -13.114877049

Solving
1 + x = -13.114877049

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = -13.114877049 + -1

Combine like terms: 1 + -1 = 0
0 + x = -13.114877049 + -1
x = -13.114877049 + -1

Combine like terms: -13.114877049 + -1 = -14.114877049
x = -14.114877049

Simplifying
x = -14.114877049


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12.114877049, -14.114877049}
Solution
x = {12.114877049, -14.114877049}

See similar equations:

| 7sqrt(2x-2)=56 | | 2x^2+2x-342=0 | | 4x^2y-5y=x^3 | | X+3/3=2x-9 | | 8p+15=6p+33 | | x+18=-5x+72 | | x+x+y=42 | | -7+3x=x-7 | | 2(5+q)=3(3+2q) | | (4y+16)+6=(9y-3)-2 | | 3(8-7)=3c | | x^2+y^2+x=3 | | -8(2t+8)=-64 | | 2(f-5)=-4 | | 10s-90=156 | | 3*0.01= | | 5c+10c=75-15 | | 80-3x=7x | | 2(4-6)=4 | | 45-2x=9-8x | | 8+4=5+n | | x(x)a+bx+c=0 | | 3+6x=13+x | | ax(x)+bx+c=0 | | 4(3-4x)-5=-1-2(x+3) | | ax(x)+bx-c=0 | | ax(ax)+bx-c=0 | | 2(11+5x)=7+3(3x-1) | | y=2sin(2x)+1 | | 3(4-2x)=2+2(3+x) | | 36c=1476 | | -9-6(2)-5=2(2)+6+2(2) |

Equations solver categories