(2x+10)(2x+10)=300

Simple and best practice solution for (2x+10)(2x+10)=300 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+10)(2x+10)=300 equation: 


Simplifying
(2x + 10)(2x + 10) = 300

Reorder the terms:
(10 + 2x)(2x + 10) = 300

Reorder the terms:
(10 + 2x)(10 + 2x) = 300

Multiply (10 + 2x) * (10 + 2x)
(10(10 + 2x) + 2x * (10 + 2x)) = 300
((10 * 10 + 2x * 10) + 2x * (10 + 2x)) = 300
((100 + 20x) + 2x * (10 + 2x)) = 300
(100 + 20x + (10 * 2x + 2x * 2x)) = 300
(100 + 20x + (20x + 4x2)) = 300

Combine like terms: 20x + 20x = 40x
(100 + 40x + 4x2) = 300

Solving
100 + 40x + 4x2 = 300

Solving for variable 'x'.

Reorder the terms:
100 + -300 + 40x + 4x2 = 300 + -300

Combine like terms: 100 + -300 = -200
-200 + 40x + 4x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-200 + 40x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-50 + 10x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-50 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
-50 + 10x + x2 = 0

Solving
-50 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '50' to each side of the equation.
-50 + 10x + 50 + x2 = 0 + 50

Reorder the terms:
-50 + 50 + 10x + x2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 10x + x2 = 0 + 50
10x + x2 = 0 + 50

Combine like terms: 0 + 50 = 50
10x + x2 = 50

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 50 + 25

Reorder the terms:
25 + 10x + x2 = 50 + 25

Combine like terms: 50 + 25 = 75
25 + 10x + x2 = 75

Factor a perfect square on the left side:
(x + 5)(x + 5) = 75

Calculate the square root of the right side: 8.660254038

Break this problem into two subproblems by setting 
(x + 5) equal to 8.660254038 and -8.660254038.


Subproblem 1
x + 5 = 8.660254038

Simplifying
x + 5 = 8.660254038

Reorder the terms:
5 + x = 8.660254038

Solving
5 + x = 8.660254038

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 8.660254038 + -5

Combine like terms: 5 + -5 = 0
0 + x = 8.660254038 + -5
x = 8.660254038 + -5

Combine like terms: 8.660254038 + -5 = 3.660254038
x = 3.660254038

Simplifying
x = 3.660254038


Subproblem 2
x + 5 = -8.660254038

Simplifying
x + 5 = -8.660254038

Reorder the terms:
5 + x = -8.660254038

Solving
5 + x = -8.660254038

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -8.660254038 + -5

Combine like terms: 5 + -5 = 0
0 + x = -8.660254038 + -5
x = -8.660254038 + -5

Combine like terms: -8.660254038 + -5 = -13.660254038
x = -13.660254038

Simplifying
x = -13.660254038


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.660254038, -13.660254038}
Solution
x = {3.660254038, -13.660254038}

See similar equations:

| -2m=16-1 | | 16x^3y+54y= | | -2=16-m | | x+4x+10=180 | | -5=x-5x+7 | | 6x^2-13x-15= | | 3x+3=7x-14-3 | | 5+2n-3=9n+11-6n | | 2b-2(3b-4)=-6(b+2)+30+b | | b^4a-81a^5= | | (4-i)(6-6i)=0 | | 69=x+5x-3 | | 3x-1+x-1=134 | | 8x+8(x+20)=720 | | n/4-20=-1 | | 384=16+x(x) | | 125+10h=250+7h | | 10-x-7x=6 | | 10+4(y-2)=2(y+2) | | -4r+36=-4(7+5r) | | 3c+8c+7=-18 | | -64=-16y | | 2s^6t^2+10s^3t^3+12t^4= | | -x+9x= | | 2s^6t^6+10s^3t^3+12t^4= | | 8x-13=11+6x | | 4k+2(5k-6)=-18 | | 12-10m=-28 | | 7(k-8)=-2(k+1) | | -96b=96 | | 3(w+2)-4(w+4)=0 | | x^2-3x-28=42 |

Equations solver categories