16x(4x-15)(3x+7)=0

Simple and best practice solution for 16x(4x-15)(3x+7)=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 16x(4x-15)(3x+7)=0 equation: 


Simplifying
16x(4x + -15)(3x + 7) = 0

Reorder the terms:
16x(-15 + 4x)(3x + 7) = 0

Reorder the terms:
16x(-15 + 4x)(7 + 3x) = 0

Multiply (-15 + 4x) * (7 + 3x)
16x(-15(7 + 3x) + 4x * (7 + 3x)) = 0
16x((7 * -15 + 3x * -15) + 4x * (7 + 3x)) = 0
16x((-105 + -45x) + 4x * (7 + 3x)) = 0
16x(-105 + -45x + (7 * 4x + 3x * 4x)) = 0
16x(-105 + -45x + (28x + 12x2)) = 0

Combine like terms: -45x + 28x = -17x
16x(-105 + -17x + 12x2) = 0
(-105 * 16x + -17x * 16x + 12x2 * 16x) = 0
(-1680x + -272x2 + 192x3) = 0

Solving
-1680x + -272x2 + 192x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-105 + -17x + 12x2) = 0

Factor a trinomial.
16x((-7 + -3x)(15 + -4x)) = 0

Ignore the factor 16.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 3
Set the factor '(15 + -4x)' equal to zero and attempt to solve:

Simplifying
15 + -4x = 0

Solving
15 + -4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 0 + -15
-4x = 0 + -15

Combine like terms: 0 + -15 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75
Solution
x = {0, -2.333333333, 3.75}

See similar equations:

| 12k-8k-6k=18+20-6 | | x^3+0.0996*x-0.0996=0 | | x=x^3+2x+20 | | 4!/895! | | 8/9x54 | | a/1=12/b | | 223=155-x | | 3x=30-y | | 5x-6yx-8y=10 | | 3x^2+5=14x | | [2x-3/5]=5 | | x+4x-10y+y= | | 9x+72+4x+112=180 | | 8000=-2w^2+12w-7 | | 2y^0= | | (4x-3y)(4x-y)= | | 2-3(5-3x)=4 | | 393.8816=4*3.14r^2 | | d=18t | | 2+5x=6x | | 45+15x=420 | | 5/7×3 | | 3378.1376=4*3.14r^2 | | https://lh5.googleusercontent.com/l6rLTfWiZ-x3uJ9BkFt5ODeZo3zr-aGOcnSTDXl2ULTKNPKZU7ua6Lh9CrHMXR8jAduQPGzCCw=w248 | | X-2(4+x)+10= | | 9224.1896=4*3.14r^2 | | b=-dca | | 4x-(2+x)=10+2x | | 29/3*3 | | 9n+14=6n+24 | | 4392.1064=4*3.14r^2 | | A=2n+3 |

Equations solver categories