(2x+3)(3x-8)=0

Simple and best practice solution for (2x+3)(3x-8)=0 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+3)(3x-8)=0 equation: 


Simplifying
(2x + 3)(3x + -8) = 0

Reorder the terms:
(3 + 2x)(3x + -8) = 0

Reorder the terms:
(3 + 2x)(-8 + 3x) = 0

Multiply (3 + 2x) * (-8 + 3x)
(3(-8 + 3x) + 2x * (-8 + 3x)) = 0
((-8 * 3 + 3x * 3) + 2x * (-8 + 3x)) = 0
((-24 + 9x) + 2x * (-8 + 3x)) = 0
(-24 + 9x + (-8 * 2x + 3x * 2x)) = 0
(-24 + 9x + (-16x + 6x2)) = 0

Combine like terms: 9x + -16x = -7x
(-24 + -7x + 6x2) = 0

Solving
-24 + -7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -2x)(8 + -3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-1.5, 2.666666667}

See similar equations:

| 7-2(3x+4)=8 | | 3x-4(5x-6)=8-7x | | -6r+9=6-5r | | 9a^2=17 | | p+8=-8p-2+8p | | -5c=-5-10c | | 0.3x-1.2+0.7x=0.9x+1 | | -3-2(9+2m)=m | | -12x^3+50x^2-48x=0 | | 7/x^2=-11/6 | | -2y+3x=0 | | 3-27=-4z | | 9-5(2-3x)=-1+16x | | 8y^2-41y-594=0 | | 20x-10=8y-2 | | 21x-23x=5-7 | | 8x-2(3+x)=2+5x | | 75x1/2=x | | 4(a-3)-5(2a-b)+3(b+2)= | | 4n+3.9=8.7 | | 4x1/2=x | | W(-9)=14 | | 5d-2=23 | | 1.9=2y+10.5 | | 0.5x+2.4y=6.2 | | -4y-12=4 | | 9xy+3yz-5xz-9xy= | | 2x-5+6x+3=3x+2-x-1 | | -7n-28+31=-4n-15 | | m^2-25m+16=0 | | -7n+28+31=-4n-15 | | g(x)=64(0.5x)2 |

Equations solver categories