x(6x^2+10x)(3x-5)=0

Simple and best practice solution for x(6x^2+10x)(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(6x^2+10x)(3x-5)=0 equation: 


Simplifying
x(6x2 + 10x)(3x + -5) = 0

Reorder the terms:
x(10x + 6x2)(3x + -5) = 0

Reorder the terms:
x(10x + 6x2)(-5 + 3x) = 0

Multiply (10x + 6x2) * (-5 + 3x)
x(10x * (-5 + 3x) + 6x2 * (-5 + 3x)) = 0
x((-5 * 10x + 3x * 10x) + 6x2 * (-5 + 3x)) = 0
x((-50x + 30x2) + 6x2 * (-5 + 3x)) = 0
x(-50x + 30x2 + (-5 * 6x2 + 3x * 6x2)) = 0
x(-50x + 30x2 + (-30x2 + 18x3)) = 0

Combine like terms: 30x2 + -30x2 = 0
x(-50x + 0 + 18x3) = 0
x(-50x + 18x3) = 0
(-50x * x + 18x3 * x) = 0
(-50x2 + 18x4) = 0

Solving
-50x2 + 18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-25 + 9x2) = 0

Factor a difference between two squares.
2x2((5 + 3x)(-5 + 3x)) = 0

Ignore the factor 2.

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 '(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

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, -1.666666667, 1.666666667}

See similar equations:

| 1/5=x/100= | | 40+x=155 | | 6(8x+10)=48x-7 | | 5j-12+13j=4j+18j-8 | | 16x-126=8x-54 | | 7×6/2= | | 7×6/2 | | -24=6a-15-2e | | 4x^2+240x-3456=0 | | 2x+2-5x=7+2x | | -5=8(3z-10) | | 2x^2+x^2-15=0 | | 10+(10)(12)=12.0 | | 6x=1/3 | | -6a+4=-8 | | 14=y+b | | 6r-7/10=r/6 | | d^2+60d-300=0 | | -4y=-4x+20 | | 7x-10+9x-12=90 | | 4+4(9-2(5-3))= | | 48=14x-8x | | 40=3x+5x | | F(n)=5+3(n-1) | | 8n+3(3+n)=15-6n | | x/30 | | 24=.0021x^2-0.286x+16.28 | | 7*3-5x+2=25+2x-7x-2 | | 0.2=48 | | 6cos^2(2x)-5cos(2x)+1=0 | | 3/21=2/x | | 3(2x+15)=33 |

Equations solver categories