20=4x(x+3)

Simple and best practice solution for 20=4x(x+3) 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 20=4x(x+3) equation: 


Simplifying
20 = 4x(x + 3)

Reorder the terms:
20 = 4x(3 + x)
20 = (3 * 4x + x * 4x)
20 = (12x + 4x2)

Solving
20 = 12x + 4x2

Solving for variable 'x'.

Reorder the terms:
20 + -12x + -4x2 = 12x + -12x + 4x2 + -4x2

Combine like terms: 12x + -12x = 0
20 + -12x + -4x2 = 0 + 4x2 + -4x2
20 + -12x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
20 + -12x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -3x + -1x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -3x + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -3x + -1x2 = 0

Solving
5 + -3x + -1x2 = 0

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

Divide each side by '-1'.
-5 + 3x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 3x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x + x2 = 0 + 5
3x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3x + x2 = 5

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 5 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 5 + 2.25

Combine like terms: 5 + 2.25 = 7.25
2.25 + 3x + x2 = 7.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 7.25

Calculate the square root of the right side: 2.692582404

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.692582404 and -2.692582404.


Subproblem 1
x + 1.5 = 2.692582404

Simplifying
x + 1.5 = 2.692582404

Reorder the terms:
1.5 + x = 2.692582404

Solving
1.5 + x = 2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 2.692582404 + -1.5
x = 2.692582404 + -1.5

Combine like terms: 2.692582404 + -1.5 = 1.192582404
x = 1.192582404

Simplifying
x = 1.192582404


Subproblem 2
x + 1.5 = -2.692582404

Simplifying
x + 1.5 = -2.692582404

Reorder the terms:
1.5 + x = -2.692582404

Solving
1.5 + x = -2.692582404

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -2.692582404 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -2.692582404 + -1.5
x = -2.692582404 + -1.5

Combine like terms: -2.692582404 + -1.5 = -4.192582404
x = -4.192582404

Simplifying
x = -4.192582404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.192582404, -4.192582404}
Solution
x = {1.192582404, -4.192582404}

See similar equations:

| 5a-3(a+6)=2(a-9) | | 16.5r=36.5 | | x-3/2-2=x-8/3 | | -4.2y=-210 | | 4-2x=2x | | (8x-1)(x-8)=0 | | p=4a+b+5 | | 6-10h-8= | | x+(x+8)=18 | | 8.32=4.1z+10.5 | | Y+1/8=14 | | 3/32a=3/4 | | -2(6x-7)=-12-14 | | -2x-2y=3 | | 0.5(r-2)=-r-2 | | 2(v+1)+3=11 | | C+3c+3c/2+4c-2=169 | | 4(3x-12)=12(x-12) | | 1/4p=-12 | | x+2/3x+3 | | (1x^2+16x-21)/(2x-1) | | 5/(x-5)=(-6/(x+7))+(27/((X-5)(x+7))) | | 5c+2+7c= | | -32x=416 | | 1/2x+(x-25)+100+(x-15)+1/2x=540 | | C+3c+3c/2+4c-2 | | 15y^8/50y^7 | | 4(6+5x)-2(1+2x)=-10 | | 2(a-6)=4a-(2a-12) | | 70/-28 | | 2/5x=1/10 | | -18+-30a+40=32 |

Equations solver categories