2x^2+4x-9=2+x^2-2

Simple and best practice solution for 2x^2+4x-9=2+x^2-2 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 2x^2+4x-9=2+x^2-2 equation: 


Simplifying
2x2 + 4x + -9 = 2 + x2 + -2

Reorder the terms:
-9 + 4x + 2x2 = 2 + x2 + -2

Reorder the terms:
-9 + 4x + 2x2 = 2 + -2 + x2

Combine like terms: 2 + -2 = 0
-9 + 4x + 2x2 = 0 + x2
-9 + 4x + 2x2 = x2

Solving
-9 + 4x + 2x2 = x2

Solving for variable 'x'.

Combine like terms: 2x2 + -1x2 = 1x2
-9 + 4x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 4x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 4x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + 4x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4x + x2 = 0 + 9
4x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
4x + x2 = 9

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 9 + 4

Reorder the terms:
4 + 4x + x2 = 9 + 4

Combine like terms: 9 + 4 = 13
4 + 4x + x2 = 13

Factor a perfect square on the left side:
(x + 2)(x + 2) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(x + 2) equal to 3.605551275 and -3.605551275.


Subproblem 1
x + 2 = 3.605551275

Simplifying
x + 2 = 3.605551275

Reorder the terms:
2 + x = 3.605551275

Solving
2 + x = 3.605551275

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 3.605551275 + -2

Combine like terms: 2 + -2 = 0
0 + x = 3.605551275 + -2
x = 3.605551275 + -2

Combine like terms: 3.605551275 + -2 = 1.605551275
x = 1.605551275

Simplifying
x = 1.605551275


Subproblem 2
x + 2 = -3.605551275

Simplifying
x + 2 = -3.605551275

Reorder the terms:
2 + x = -3.605551275

Solving
2 + x = -3.605551275

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -3.605551275 + -2

Combine like terms: 2 + -2 = 0
0 + x = -3.605551275 + -2
x = -3.605551275 + -2

Combine like terms: -3.605551275 + -2 = -5.605551275
x = -5.605551275

Simplifying
x = -5.605551275


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.605551275, -5.605551275}

See similar equations:

| (2^2x5^4/15)^4 | | Abc=4prt(forc) | | 4c-14=-2 | | 9x+1=4x+41 | | (x+58)+(x+21)=180 | | 2(2x+3)=3x+1 | | 4(n+1)=28 | | 2a=10a-5a-2 | | -2(x+6)-22=-18 | | 6n+1=6n-1 | | 5x-6=4y | | a/6-2-7 | | -2(4y-8)-y=-3(y-2) | | 4=4(3d-5) | | -2x+10=-22 | | 4x-7=71-9x | | -3(x-5)=42 | | 3x^2+14.2-11.7=0 | | 125=20-15x | | [2x-6]=[-10] | | 55x+y=156 | | 3x-26=2(x+12) | | 4m^2+4m-8=1 | | 39=-10+7m | | 4x^2+2x+4=2x-8 | | 1-6x=-8-4x | | 0+0(1-0x)=0+0x | | 4m+m-8=1 | | 3x^2+14.2=11.7 | | H(X)=lx-4l-3 | | Z-1+2i=2z-i | | ln(8x+3)=0.6 |

Equations solver categories