3x(5x-4)(x+10)=0

Simple and best practice solution for 3x(5x-4)(x+10)=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(5x-4)(x+10)=0 equation: 


Simplifying
3x(5x + -4)(x + 10) = 0

Reorder the terms:
3x(-4 + 5x)(x + 10) = 0

Reorder the terms:
3x(-4 + 5x)(10 + x) = 0

Multiply (-4 + 5x) * (10 + x)
3x(-4(10 + x) + 5x * (10 + x)) = 0
3x((10 * -4 + x * -4) + 5x * (10 + x)) = 0
3x((-40 + -4x) + 5x * (10 + x)) = 0
3x(-40 + -4x + (10 * 5x + x * 5x)) = 0
3x(-40 + -4x + (50x + 5x2)) = 0

Combine like terms: -4x + 50x = 46x
3x(-40 + 46x + 5x2) = 0
(-40 * 3x + 46x * 3x + 5x2 * 3x) = 0
(-120x + 138x2 + 15x3) = 0

Solving
-120x + 138x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-40 + 46x + 5x2) = 0

Factor a trinomial.
3x((-10 + -1x)(4 + -5x)) = 0

Ignore the factor 3.

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 '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 3
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, -10, 0.8}

See similar equations:

| 5x^2+25-70= | | (22+2x)(8+2x)=480 | | -4.2+m=8.6 | | 4a-c=ac | | 2*2*2-(36-6*5)= | | x+13.2=10.4 | | 4y^2+37a-15=0 | | Ln(0.7788)=Lny-3Lnx | | 60+0.3x=20+.80 | | y=1.75x+7 | | g(6)=-3x-3 | | 9/8d=9/16 | | 6x+4=10+4x | | x/6-4=3 | | 3x+2x=20+5 | | E-x=3 | | 18-3(c+4)=5+2c-8 | | 2.8=0.5 | | 7w-4=12+3w | | -36+n=3(8n-2)+7n | | m^2-7m+70=0 | | f(-2)=3x^2-3x | | X/-6-2=3 | | 2k/-2.6=12 | | 8/9=12/30 | | 3(2y-3)=15-6 | | (-2+6j)-(3-2j)= | | 18c-3(c+4)=5+2c-18 | | -117/36b=64/36 | | y=4(3.5+1)(3.5-6) | | 5.50x=3.30x+8 | | 6/7v=60/5 |

Equations solver categories