(4x+3)(2x+1)=36

Simple and best practice solution for (4x+3)(2x+1)=36 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 (4x+3)(2x+1)=36 equation: 


Simplifying
(4x + 3)(2x + 1) = 36

Reorder the terms:
(3 + 4x)(2x + 1) = 36

Reorder the terms:
(3 + 4x)(1 + 2x) = 36

Multiply (3 + 4x) * (1 + 2x)
(3(1 + 2x) + 4x * (1 + 2x)) = 36
((1 * 3 + 2x * 3) + 4x * (1 + 2x)) = 36
((3 + 6x) + 4x * (1 + 2x)) = 36
(3 + 6x + (1 * 4x + 2x * 4x)) = 36
(3 + 6x + (4x + 8x2)) = 36

Combine like terms: 6x + 4x = 10x
(3 + 10x + 8x2) = 36

Solving
3 + 10x + 8x2 = 36

Solving for variable 'x'.

Reorder the terms:
3 + -36 + 10x + 8x2 = 36 + -36

Combine like terms: 3 + -36 = -33
-33 + 10x + 8x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-33 + 10x + 8x2 = 0

Factor a trinomial.
(-11 + -4x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve:

Simplifying
-11 + -4x = 0

Solving
-11 + -4x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -4x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -4x = 0 + 11
-4x = 0 + 11

Combine like terms: 0 + 11 = 11
-4x = 11

Divide each side by '-4'.
x = -2.75

Simplifying
x = -2.75

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 = {-2.75, 1.5}

See similar equations:

| 1/4x-1/2=12 | | 17b-7b=45 | | 2k=21 | | 4b+5b=90 | | x+(x*0.03375)=631307.52 | | 41=-4-3(-3+3m) | | [2x-5]=[x+4] | | 7x-13=x-2 | | 8a-17=10a | | x=y^2-9y+4 | | 205=5(-5x+16) | | 3[x-1]-2[x+1]=0 | | 6xy-7x=5y+1 | | (x^2-3x)/(x-1) | | t^2+5t-176=0 | | 4m+5=-23 | | -5x-7+2=13 | | x=y^2+10 | | -x^2+20x-6000=0 | | -6(-10x-8)=-432 | | -x-2-3=7 | | =(3-w)(3-w^2) | | 0.80log= | | t=217-17t-16t^2 | | 2x+42*5x=256 | | 0.50(9.0-y)+0.20y=3.00 | | 15+3*5-11= | | 2r+18=5r+11 | | 25x^2-85x+42=0 | | 7a-3b=37 | | 100x-27y-z=0 | | 45x^2+14x-40=0 |

Equations solver categories