(3x+4)(8x-12)=0

Simple and best practice solution for (3x+4)(8x-12)=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+4)(8x-12)=0 equation: 


Simplifying
(3x + 4)(8x + -12) = 0

Reorder the terms:
(4 + 3x)(8x + -12) = 0

Reorder the terms:
(4 + 3x)(-12 + 8x) = 0

Multiply (4 + 3x) * (-12 + 8x)
(4(-12 + 8x) + 3x * (-12 + 8x)) = 0
((-12 * 4 + 8x * 4) + 3x * (-12 + 8x)) = 0
((-48 + 32x) + 3x * (-12 + 8x)) = 0
(-48 + 32x + (-12 * 3x + 8x * 3x)) = 0
(-48 + 32x + (-36x + 24x2)) = 0

Combine like terms: 32x + -36x = -4x
(-48 + -4x + 24x2) = 0

Solving
-48 + -4x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -1x + 6x2) = 0

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

Ignore the factor 4.

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

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

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

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

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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 = {-1.333333333, 1.5}

See similar equations:

| 6x+9y=-9 | | 2x-3-(3x+5)+(4x-1)= | | -7x+2=19 | | x^8=3.8 | | 3/2logx-logy | | x+33=37 | | 10y-3=1 | | 4p+2q=10whatisp | | x-8y=26 | | 4x+2+2x-4= | | 10-2x=X-4 | | 20-6a+2a+8= | | x^2-8n+11=0 | | Log(5)2+log(5)50-log(5)4=equation | | 5(x+2)-3(2x+1)= | | 4y+11z=141 | | 8x+4y-24=0 | | x+8y=86 | | 20log(x)=-58 | | X+xy=100 | | 3/2^(2x)=4/9 | | F(x)=(7-4x)4 | | 1-7y=-20 | | 5p+2.2=7.7 | | .7x=1000 | | 879879798-3214x=2123123-213x | | m/2.8=6.2 | | Z(h+u)=70 | | 2(18+17)= | | 3+10k=8k+27 | | 4p=65 | | 30=7n+37 |

Equations solver categories