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

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


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

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

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

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

Combine like terms: -12x + 4x = -8x
(-16 + -8x + 3x2) = 0

Solving
-16 + -8x + 3x2 = 0

Solving for variable 'x'.

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


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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.333333333, 4}

See similar equations:

| 6-6(-4v+2)=-6+8v | | .42x=1 | | 2x^3-2x^2-8x+4=0 | | 6p+8=-40 | | 3p-6p=6 | | 4.2x=1 | | 81=9y | | 5n+21=6(-4n-1)+2n | | -3+6=8w+9-2w | | 6a-5=25 | | 20x^2-9xy-20y^2=0 | | a+8=-17 | | (2x-7)(x^2-9)=0 | | 40x^2+130xy-225y^2=0 | | 24a^2+44a-140=0 | | -4-36= | | 0=x^2+6x+8 | | 6x-4=-40 | | 10x=60 | | 15x^3+72x^2-15x=0 | | 98-4g=11g | | 58-x=20 | | 9x^3+24x^2+15x=0 | | v=57-2v | | -4-4m=36 | | x^4+11x^2-45=0 | | 14=5x+34 | | 15x^3-11x^2-4x=0 | | 2p=90-8p | | 37=17-2x | | 12=-14x-2 | | 48x^2+116x+60=0 |

Equations solver categories