(2x+1)(2x+3)=24

Simple and best practice solution for (2x+1)(2x+3)=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 (2x+1)(2x+3)=24 equation: 


Simplifying
(2x + 1)(2x + 3) = 24

Reorder the terms:
(1 + 2x)(2x + 3) = 24

Reorder the terms:
(1 + 2x)(3 + 2x) = 24

Multiply (1 + 2x) * (3 + 2x)
(1(3 + 2x) + 2x * (3 + 2x)) = 24
((3 * 1 + 2x * 1) + 2x * (3 + 2x)) = 24
((3 + 2x) + 2x * (3 + 2x)) = 24
(3 + 2x + (3 * 2x + 2x * 2x)) = 24
(3 + 2x + (6x + 4x2)) = 24

Combine like terms: 2x + 6x = 8x
(3 + 8x + 4x2) = 24

Solving
3 + 8x + 4x2 = 24

Solving for variable 'x'.

Reorder the terms:
3 + -24 + 8x + 4x2 = 24 + -24

Combine like terms: 3 + -24 = -21
-21 + 8x + 4x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-21 + 8x + 4x2 = 0

Factor a trinomial.
(-7 + -2x)(3 + -2x) = 0


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

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-3.5, 1.5}

See similar equations:

| 15*x+40*y=2500 | | 25w-34=16 | | 7.3+2.5y=12.4+1.5y | | 8x-8(0)=0 | | 8x+0=0 | | x+6/3=4 | | 3/7x-4=0 | | 5x=14-3 | | 63=8y-9 | | 21y+12-25y-10=-2 | | f(5a)=5a-9 | | f(5a)=5a-9 | | 9x+37=40 | | x^2-y^2=200 | | 10+d=15+1/2 | | 7k+3=52 | | -5x^2+5x-7=0 | | 10+d=15+0.5 | | 3x+0=14 | | 15*(2x-5)+2x=5*(5x-15)-7 | | 8x-6+9-3x= | | 6(x+16)=4x-16 | | 10w-3w+9+w= | | (n-3)*3=9 | | 8a+4=60 | | (2+q)-0.5=16 | | 10v-14=-36v-15 | | 35=8-9x | | (-1/7)x=-2 | | 8r^2-40r-122=0 | | -16x-4x=-3 | | 10z*z= |

Equations solver categories