(3x+4)(2x-4)=0

Simple and best practice solution for (3x+4)(2x-4)=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)(2x-4)=0 equation:


Simplifying
(3x + 4)(2x + -4) = 0

Reorder the terms:
(4 + 3x)(2x + -4) = 0

Reorder the terms:
(4 + 3x)(-4 + 2x) = 0

Multiply (4 + 3x) * (-4 + 2x)
(4(-4 + 2x) + 3x * (-4 + 2x)) = 0
((-4 * 4 + 2x * 4) + 3x * (-4 + 2x)) = 0
((-16 + 8x) + 3x * (-4 + 2x)) = 0
(-16 + 8x + (-4 * 3x + 2x * 3x)) = 0
(-16 + 8x + (-12x + 6x2)) = 0

Combine like terms: 8x + -12x = -4x
(-16 + -4x + 6x2) = 0

Solving
-16 + -4x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -2x + 3x2) = 0

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

Ignore the factor 2.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1.333333333, 2}

See similar equations:

| 2-4(0.1x)=-6 | | 35=6x-31 | | 10x-15=7+5x | | 52=4(1+2x) | | y=-12-31 | | y=42-31 | | x^2+21x+22=0 | | -2x+3=4x-57 | | 0.25x-1.3=12.1 | | 3x-x=64 | | 5x+3x=7x-9 | | 7(3x+5)=41 | | .50[85x-25(x-2)]= | | 2+3.5(z+2)=3.5z-3 | | 4(5x+3)=6(2x-10) | | 18x+(7-4x)=77 | | 3(3x+4)=5(4x-13) | | 2x+6=224 | | 2d+12=3d-1 | | 42=9(5x+6) | | 45-5x=0 | | -3x^2-6x=0 | | 5x-5=-x-11 | | -17+(-32x)+24+18x= | | x-(8)=124 | | 2g+(-7+3g)=1-g | | 2f+3=9f-24 | | 2(3-x)+2x=6 | | x^2+44x+480=0 | | 11u-84=4u | | 2d-11=7 | | 2+9(2-36)= |

Equations solver categories