(3x^3-4x^2)(-12x+16)=0

Simple and best practice solution for (3x^3-4x^2)(-12x+16)=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^3-4x^2)(-12x+16)=0 equation: 


Simplifying
(3x3 + -4x2)(-12x + 16) = 0

Reorder the terms:
(-4x2 + 3x3)(-12x + 16) = 0

Reorder the terms:
(-4x2 + 3x3)(16 + -12x) = 0

Multiply (-4x2 + 3x3) * (16 + -12x)
(-4x2 * (16 + -12x) + 3x3 * (16 + -12x)) = 0
((16 * -4x2 + -12x * -4x2) + 3x3 * (16 + -12x)) = 0
((-64x2 + 48x3) + 3x3 * (16 + -12x)) = 0
(-64x2 + 48x3 + (16 * 3x3 + -12x * 3x3)) = 0
(-64x2 + 48x3 + (48x3 + -36x4)) = 0

Combine like terms: 48x3 + 48x3 = 96x3
(-64x2 + 96x3 + -36x4) = 0

Solving
-64x2 + 96x3 + -36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-16 + 24x + -9x2) = 0

Factor a trinomial.
4x2((-4 + 3x)(4 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
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 3
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
Solution
x = {0, 1.333333333, 1.333333333}

See similar equations:

| 3sin^3x=sinx*cos^2x | | X+6y+z=20 | | 7i+8i+7+6+9i=-32 | | 6-7i/6-7i | | 4x^2+3x^2=yx^2 | | 7x-23+4x+3=123 | | 7e+5-4e-3=-20 | | log(x/10^-4)=6.6 | | 2x^2+7x=42-x | | 3y-42=25 | | 8-4(1/8r-31/2 | | 7/99=56 | | 4-(2x)=10+x | | 3x^2+112=2x^2+22x | | -6+14=7x+32-3x | | -3/4x-1/2=2+1/4x | | 7e+5-4e-3=20 | | -5x+2y+5z=46 | | X^2+61=1-17x | | c+25=6 | | -5x-4x-9=81 | | 2/5w=1/3(w-9) | | 4-2x=10x | | 5w^2-50=0 | | -7x+8y-2z=-60 | | (2x-3)/(8x-5) | | b-18=30 | | 3500=125+3x | | y-4=-1/2x | | 9+12=53 | | 15+1/4=2 | | 3r-4=-10 |

Equations solver categories