x(x+5)(3x-5)=0

Simple and best practice solution for x(x+5)(3x-5)=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+5)(3x-5)=0 equation: 


Simplifying
x(x + 5)(3x + -5) = 0

Reorder the terms:
x(5 + x)(3x + -5) = 0

Reorder the terms:
x(5 + x)(-5 + 3x) = 0

Multiply (5 + x) * (-5 + 3x)
x(5(-5 + 3x) + x(-5 + 3x)) = 0
x((-5 * 5 + 3x * 5) + x(-5 + 3x)) = 0
x((-25 + 15x) + x(-5 + 3x)) = 0
x(-25 + 15x + (-5 * x + 3x * x)) = 0
x(-25 + 15x + (-5x + 3x2)) = 0

Combine like terms: 15x + -5x = 10x
x(-25 + 10x + 3x2) = 0
(-25 * x + 10x * x + 3x2 * x) = 0
(-25x + 10x2 + 3x3) = 0

Solving
-25x + 10x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-25 + 10x + 3x2) = 0

Factor a trinomial.
x((-5 + -1x)(5 + -3x)) = 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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 3
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, -5, 1.666666667}

See similar equations:

| s^2+16s+64=0 | | -2=2x+14/x-1 | | -x-2=-11x-92 | | 3(d-8)=2d | | sec^2x+2tanx=3 | | -11x+5=-7x+41 | | x^2+8x+25= | | -7/-4x-2 | | log[5]x^3=12 | | 127=ln(4x+5) | | 8x+7y=-35 | | -11x-3=-6x+27 | | 10-4Q= | | -19x-13=-7x-25 | | x^2+y^2-2x-10y-23=0 | | -7x+9=-14x+58 | | x^2+y^2+2x-10y-23=0 | | 2sec^2x-3+tanx=0 | | (4z-3)(8-z)=0 | | 5w*w= | | -9x+8=2x-14 | | 6r^2+6r-112=0 | | -12x-13=7x+7 | | x^2+y^2=2y | | 3x+7=8x-18 | | 15x-8=12x+4 | | -2/5x=18 | | (-1.6)x-6=-54 | | 3x+4-2x=17 | | 35=21 | | (-3a/b^4)^3 | | 3(x-6)=-36 |

Equations solver categories