x^2+4x+2=25

Simple and best practice solution for x^2+4x+2=25 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^2+4x+2=25 equation:


Simplifying
x2 + 4x + 2 = 25

Reorder the terms:
2 + 4x + x2 = 25

Solving
2 + 4x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
2 + -25 + 4x + x2 = 25 + -25

Combine like terms: 2 + -25 = -23
-23 + 4x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-23 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '23' to each side of the equation.
-23 + 4x + 23 + x2 = 0 + 23

Reorder the terms:
-23 + 23 + 4x + x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 4x + x2 = 0 + 23
4x + x2 = 0 + 23

Combine like terms: 0 + 23 = 23
4x + x2 = 23

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 = 23 + 4

Reorder the terms:
4 + 4x + x2 = 23 + 4

Combine like terms: 23 + 4 = 27
4 + 4x + x2 = 27

Factor a perfect square on the left side:
(x + 2)(x + 2) = 27

Calculate the square root of the right side: 5.196152423

Break this problem into two subproblems by setting 
(x + 2) equal to 5.196152423 and -5.196152423.

Subproblem 1

x + 2 = 5.196152423 Simplifying x + 2 = 5.196152423 Reorder the terms: 2 + x = 5.196152423 Solving 2 + x = 5.196152423 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 = 5.196152423 + -2 Combine like terms: 2 + -2 = 0 0 + x = 5.196152423 + -2 x = 5.196152423 + -2 Combine like terms: 5.196152423 + -2 = 3.196152423 x = 3.196152423 Simplifying x = 3.196152423

Subproblem 2

x + 2 = -5.196152423 Simplifying x + 2 = -5.196152423 Reorder the terms: 2 + x = -5.196152423 Solving 2 + x = -5.196152423 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 = -5.196152423 + -2 Combine like terms: 2 + -2 = 0 0 + x = -5.196152423 + -2 x = -5.196152423 + -2 Combine like terms: -5.196152423 + -2 = -7.196152423 x = -7.196152423 Simplifying x = -7.196152423

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.196152423, -7.196152423}

See similar equations:

| x+2=25 | | 2b^2-5b-12=0 | | 9x-3(x+4)=6x-(2x+7) | | 45FG+104=156 | | w^2-13w+36= | | (7X-2)(5X+14)=0 | | 23+3=C+52 | | 23+3=C | | 3x^5-6x^3= | | 3s^2=11 | | 122+23V=6 | | v=-1385n+18790 | | 12O+12=156 | | 9x^5-27x^2= | | 14X+2Y+7Y-12=140 | | (3x-4)*(2x+2)= | | (7X-2)+(5X+14)=180 | | 5x^4-35x^2= | | 2(x+1)+3(x-2)=2x-37 | | 5x-35x= | | x^2+6x-150=0 | | 4(x+1)+(x-5)=3x-19 | | 15x-20=35x | | 3(4x+3(x-2))=24 | | 7x-56x= | | 2X-4=0.5X+8 | | 7y+70= | | 3(x-4)=-21 | | x^2=-65 | | 2(6+2x)=8x | | 2a+3b+2c=32 | | 6x+2y=1 |

Equations solver categories