4x(2x+3)=36

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


Simplifying
4x(2x + 3) = 36

Reorder the terms:
4x(3 + 2x) = 36
(3 * 4x + 2x * 4x) = 36
(12x + 8x2) = 36

Solving
12x + 8x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + 12x + 8x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 12x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 3x + 2x2) = 0

Factor a trinomial.
4((-3 + -1x)(3 + -2x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

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, 1.5}

See similar equations:

| 7y^2-16y-28=0 | | 13m=5 | | 48x^2+14-45=0 | | 48x^2+14=45 | | 4x^2=28x-49 | | 1+8x=11-2x | | 10y^2=-5y | | 4x+2x=-30 | | 6(x-1)-(x-2)=-18 | | -17-5x=13-8x | | 5x^2+18x=-32-8x | | t^2=9t | | 3.5x-4=2.5x | | 14x^2+51x=54 | | 28(a-2)+21=12a+61 | | x^3+8x=-6x^2 | | 36x^2+60x=-25 | | 7x+2=6x | | 65=3x-5 | | -6x+14=7x-12 | | (3n-12)=6 | | y=(x+6)(x-7) | | x^4+-29x^2+100=0 | | (-3n)/5-6=0 | | 18x^2=12+15x | | 4x+17=3(x+1)+21 | | (3n-20)/2=11 | | 2-7(x+1)-5(x+2)= | | 6(1-2)=1 | | 6r^2-r-2=0 | | x^2-29x+100=0 | | 6(1-2)= |

Equations solver categories