(4+2x)(3+2x)=24

Simple and best practice solution for (4+2x)(3+2x)=24 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 (4+2x)(3+2x)=24 equation: 


Simplifying
(4 + 2x)(3 + 2x) = 24

Multiply (4 + 2x) * (3 + 2x)
(4(3 + 2x) + 2x * (3 + 2x)) = 24
((3 * 4 + 2x * 4) + 2x * (3 + 2x)) = 24
((12 + 8x) + 2x * (3 + 2x)) = 24
(12 + 8x + (3 * 2x + 2x * 2x)) = 24
(12 + 8x + (6x + 4x2)) = 24

Combine like terms: 8x + 6x = 14x
(12 + 14x + 4x2) = 24

Solving
12 + 14x + 4x2 = 24

Solving for variable 'x'.

Reorder the terms:
12 + -24 + 14x + 4x2 = 24 + -24

Combine like terms: 12 + -24 = -12
-12 + 14x + 4x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-12 + 14x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 7x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + 7x + 2x2)' equal to zero and attempt to solve:

Simplifying
-6 + 7x + 2x2 = 0

Solving
-6 + 7x + 2x2 = 0

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

Divide each side by '2'.
-3 + 3.5x + x2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + 3.5x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + 3.5x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3.5x + x2 = 0 + 3
3.5x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
3.5x + x2 = 3

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = 3 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = 3 + 3.0625

Combine like terms: 3 + 3.0625 = 6.0625
3.0625 + 3.5x + x2 = 6.0625

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = 6.0625

Calculate the square root of the right side: 2.46221445

Break this problem into two subproblems by setting 
(x + 1.75) equal to 2.46221445 and -2.46221445.


Subproblem 1
x + 1.75 = 2.46221445

Simplifying
x + 1.75 = 2.46221445

Reorder the terms:
1.75 + x = 2.46221445

Solving
1.75 + x = 2.46221445

Solving for variable 'x'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + x = 2.46221445 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + x = 2.46221445 + -1.75
x = 2.46221445 + -1.75

Combine like terms: 2.46221445 + -1.75 = 0.71221445
x = 0.71221445

Simplifying
x = 0.71221445


Subproblem 2
x + 1.75 = -2.46221445

Simplifying
x + 1.75 = -2.46221445

Reorder the terms:
1.75 + x = -2.46221445

Solving
1.75 + x = -2.46221445

Solving for variable 'x'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + x = -2.46221445 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + x = -2.46221445 + -1.75
x = -2.46221445 + -1.75

Combine like terms: -2.46221445 + -1.75 = -4.21221445
x = -4.21221445

Simplifying
x = -4.21221445


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.71221445, -4.21221445}
Solution
x = {0.71221445, -4.21221445}

See similar equations:

| 3(x+76)= | | t^2-5t-(-6)=0 | | -2x-178=20 | | 5.6(8.3)= | | 15y-17y=12 | | f(x)=5x+0.5+3 | | v-1/3=3/4 | | 4x+3(3x-5)=3(x-1) | | -x^2+6x-25=0 | | f(x)=x-3+2 | | 3(n+2)+7n=196 | | H=-16t^2+65t+4 | | 1/3(a-5)=2 | | f(x)=3x+2+1 | | 0+[g+4]= | | 8x^2-6=194 | | -4(x-2)=-1/2(2x-16) | | 2x^2=180+30x | | [t+3]+0= | | (x+3i)(x-3i)(x+(1-i))(x+(1+i))(x+6)=0 | | n+7n-18=102 | | 3/4x=-1/6 | | 30m=-5(6n+6) | | 2xsquared=180+30x | | -8y+4=4x | | 29-2x=5x+8 | | 90/3=9/u | | -8(4b+1)+(33b-3)=0 | | (Log4)/log(3) | | 4.40x=4.0x+2 | | K/150=3/5 | | 8-9x^2=-316 |

Equations solver categories