(6x)(8x+20)=300

Simple and best practice solution for (6x)(8x+20)=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 (6x)(8x+20)=300 equation: 


Simplifying
(6x)(8x + 20) = 300

Remove parenthesis around (6x)
6x(8x + 20) = 300

Reorder the terms:
6x(20 + 8x) = 300
(20 * 6x + 8x * 6x) = 300
(120x + 48x2) = 300

Solving
120x + 48x2 = 300

Solving for variable 'x'.

Reorder the terms:
-300 + 120x + 48x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-300 + 120x + 48x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-25 + 10x + 4x2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-25 + 10x + 4x2)' equal to zero and attempt to solve:

Simplifying
-25 + 10x + 4x2 = 0

Solving
-25 + 10x + 4x2 = 0

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

Divide each side by '4'.
-6.25 + 2.5x + x2 = 0

Move the constant term to the right:

Add '6.25' to each side of the equation.
-6.25 + 2.5x + 6.25 + x2 = 0 + 6.25

Reorder the terms:
-6.25 + 6.25 + 2.5x + x2 = 0 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + 2.5x + x2 = 0 + 6.25
2.5x + x2 = 0 + 6.25

Combine like terms: 0 + 6.25 = 6.25
2.5x + x2 = 6.25

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = 6.25 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = 6.25 + 1.5625

Combine like terms: 6.25 + 1.5625 = 7.8125
1.5625 + 2.5x + x2 = 7.8125

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = 7.8125

Calculate the square root of the right side: 2.795084972

Break this problem into two subproblems by setting 
(x + 1.25) equal to 2.795084972 and -2.795084972.


Subproblem 1
x + 1.25 = 2.795084972

Simplifying
x + 1.25 = 2.795084972

Reorder the terms:
1.25 + x = 2.795084972

Solving
1.25 + x = 2.795084972

Solving for variable 'x'.

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x = 2.795084972 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x = 2.795084972 + -1.25
x = 2.795084972 + -1.25

Combine like terms: 2.795084972 + -1.25 = 1.545084972
x = 1.545084972

Simplifying
x = 1.545084972


Subproblem 2
x + 1.25 = -2.795084972

Simplifying
x + 1.25 = -2.795084972

Reorder the terms:
1.25 + x = -2.795084972

Solving
1.25 + x = -2.795084972

Solving for variable 'x'.

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x = -2.795084972 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x = -2.795084972 + -1.25
x = -2.795084972 + -1.25

Combine like terms: -2.795084972 + -1.25 = -4.045084972
x = -4.045084972

Simplifying
x = -4.045084972


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.545084972, -4.045084972}
Solution
x = {1.545084972, -4.045084972}

See similar equations:

| 3x+1=7-4x | | 360-95= | | 6+3+x=-x+8-26+24 | | -8(c-10)=-(c-3) | | 6(-1-8)+3(-1)=-36-(-1+22) | | 7x^2+46x-80=0 | | 4xy^3+12xy^2+2x^2y^3=0 | | 12x-9=-9+12 | | 3x+(-42)=21 | | 100=5(2k+4) | | -3(2s-1)-3=-3(6s+5)-4 | | -10-6x=2 | | 6(-1-8)+3(-1)= | | 2x-40+6=30 | | c-(-2)=15 | | 16x^2+17x-272=0 | | -2x-7=13-3x | | 12x^2-12x+39=0 | | 7x-9=8+7x | | 4(2d-3)-2(2d-1)=0 | | 5b^2-60=5b | | 5y+2+3y= | | 7y-8w= | | 7x+7(x+29)=266 | | 2x+5(5x-23)=101 | | 4n+12=24 | | -3+5(5+2b)=3(b-2) | | 17=1/x+13 | | 7x+7(7x-24)=168 | | 20+y=20 | | c/3+2/5=5/6 | | 3x-10x(x+2)=3.6-7x |

Equations solver categories