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

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


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

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

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

Multiply (3 + 8x) * (-8 + 3x)
(3(-8 + 3x) + 8x * (-8 + 3x)) = 0
((-8 * 3 + 3x * 3) + 8x * (-8 + 3x)) = 0
((-24 + 9x) + 8x * (-8 + 3x)) = 0
(-24 + 9x + (-8 * 8x + 3x * 8x)) = 0
(-24 + 9x + (-64x + 24x2)) = 0

Combine like terms: 9x + -64x = -55x
(-24 + -55x + 24x2) = 0

Solving
-24 + -55x + 24x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve:

Simplifying
-3 + -8x = 0

Solving
-3 + -8x = 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 + -8x = 0 + 3

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

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

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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 = {-0.375, 2.666666667}

See similar equations:

| 15xy/35zy | | 5x^4+3x^3+4=0 | | 280=-7(6x+2) | | a^2+48a-324=0 | | 1.6=y*1.5 | | 15x-5-16x=-1 | | (x-598)= | | 9(x-5)=8 | | X-5+3x-6=8+7x-25 | | -8j/-3=9 | | 2x+3(6-1)=24 | | 2512/3.14=64 | | 2(3x+1)=2y+3 | | 2512/3.14*12.5 | | 1-10/3x=10/7 | | 8.5+4(1.25k)=-24.5 | | 7x-4-9x+12= | | 3/7•a | | 8+x=16+0.4x | | 3+8(x-2)=6-8(x-7) | | 30=6+3t | | 4x/7-12=7 | | -7t-6=-55 | | 9a+5=-40 | | 16x^2-47=0 | | (4x-6y)+(7x-8y)= | | 9-x=20-2x | | 22/3-5=32/4-1 | | 4t+6=38 | | y^2+16y+16=0 | | 6x-5/8x-3 | | (x^2*D^2+3x*D+4)=0 |

Equations solver categories