(3x-8)(4x+3)=0

Simple and best practice solution for (3x-8)(4x+3)=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 (3x-8)(4x+3)=0 equation: 


Simplifying
(3x + -8)(4x + 3) = 0

Reorder the terms:
(-8 + 3x)(4x + 3) = 0

Reorder the terms:
(-8 + 3x)(3 + 4x) = 0

Multiply (-8 + 3x) * (3 + 4x)
(-8(3 + 4x) + 3x * (3 + 4x)) = 0
((3 * -8 + 4x * -8) + 3x * (3 + 4x)) = 0
((-24 + -32x) + 3x * (3 + 4x)) = 0
(-24 + -32x + (3 * 3x + 4x * 3x)) = 0
(-24 + -32x + (9x + 12x2)) = 0

Combine like terms: -32x + 9x = -23x
(-24 + -23x + 12x2) = 0

Solving
-24 + -23x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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 = {-0.75, 2.666666667}

See similar equations:

| -4(3y-4)-y=-3(y-5) | | 2x-4+5=9 | | -6q-3=3-6q | | 2/3x+1/6=-3x+4 | | (4x+48)+7x=epf | | 830-60x=970-80x | | 2/3x+1/6=3x+4 | | 1-8i/i | | 3m+7=26 | | -5(6x-6)+6=-30x+36 | | 9/16-9/32 | | 13x+14=4x+212 | | 600-x-9/8 | | 21-17x-4= | | ((8x^3)+(-2x^2)+(-7x)+(3))/((4x)+(-3)) | | 6+6j-4=4+4 | | x+x+1=244 | | 4x+2(3x-6)= | | x+(x-5)=24 | | -5=x+6/-5 | | 2x+12/3+x-12/4=13/4 | | 25x^2-5x= | | 1.75x-10-1.25x=60 | | 12x-12-2x= | | 5e-3.75=26.25 | | 0.30/0.6 | | 5(+30)-18=17 | | -7-12/-6 | | 4(3x-2)-(6x-5)= | | 6p^2-11p+3=0 | | -77+x=36 | | -4+(-4k)=7(6+6k) |

Equations solver categories