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

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


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

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

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

Multiply (-15 + x) * (7 + 3x)
x(-15(7 + 3x) + x(7 + 3x)) = 0
x((7 * -15 + 3x * -15) + x(7 + 3x)) = 0
x((-105 + -45x) + x(7 + 3x)) = 0
x(-105 + -45x + (7 * x + 3x * x)) = 0
x(-105 + -45x + (7x + 3x2)) = 0

Combine like terms: -45x + 7x = -38x
x(-105 + -38x + 3x2) = 0
(-105 * x + -38x * x + 3x2 * x) = 0
(-105x + -38x2 + 3x3) = 0

Solving
-105x + -38x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-105 + -38x + 3x2) = 0

Factor a trinomial.
x((-7 + -3x)(15 + -1x)) = 0


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

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, -2.333333333, 15}

See similar equations:

| 4x-2+5x=6 | | 22x+33y= | | -3p^3-p^2+3p+1=0 | | 2*y+x*y=1991 | | 7+3x-6=4 | | 9+8x=73 | | d^2-144d=0 | | 20+4x=52 | | 3x+2+2x=7 | | 98.6-4.6f=81.12 | | 20+4x=0 | | m-6(4m-3)=-189 | | 3(n-8)=-18 | | -2.3q+16=-59-38 | | 5x-15=0 | | -12c+7=-41 | | 3x=2(x^2-1) | | (x+y)+(x-y)+(x*y)=1991 | | 3b-10=14 | | 4x+10+3x-5=180 | | 4-m=7 | | a(x^2+b)=0 | | 7/20= | | (2y+3)=y+2 | | -2x-1x= | | 3x-6y-9=0 | | (3x-30)+4x=180 | | 6r+1=3r+25 | | 9x-6=3x-8 | | 9x+9=6x+6 | | x^2=56x | | 2x-5x=9 |

Equations solver categories