3x^2(4x+5)(x-6)=0

Simple and best practice solution for 3x^2(4x+5)(x-6)=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^2(4x+5)(x-6)=0 equation: 


Simplifying
3x2(4x + 5)(x + -6) = 0

Reorder the terms:
3x2(5 + 4x)(x + -6) = 0

Reorder the terms:
3x2(5 + 4x)(-6 + x) = 0

Multiply (5 + 4x) * (-6 + x)
3x2(5(-6 + x) + 4x * (-6 + x)) = 0
3x2((-6 * 5 + x * 5) + 4x * (-6 + x)) = 0
3x2((-30 + 5x) + 4x * (-6 + x)) = 0
3x2(-30 + 5x + (-6 * 4x + x * 4x)) = 0
3x2(-30 + 5x + (-24x + 4x2)) = 0

Combine like terms: 5x + -24x = -19x
3x2(-30 + -19x + 4x2) = 0
(-30 * 3x2 + -19x * 3x2 + 4x2 * 3x2) = 0
(-90x2 + -57x3 + 12x4) = 0

Solving
-90x2 + -57x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-30 + -19x + 4x2) = 0

Factor a trinomial.
3x2((-5 + -4x)(6 + -1x)) = 0

Ignore the factor 3.

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 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

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

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

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 3
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0, -1.25, 6}

See similar equations:

| -6(2p+2)-24=4(3p+3) | | 4p^4-5pq= | | 1-10x=-319 | | -3p+5p+4=6 | | 6n-6=18 | | 4x^2+12x+9= | | 12n-24=-14+28 | | (5x+15)(5x+15)=45 | | 6x^2+5x=4 | | -19(1-3k)-5k=553 | | 5.4x-4.3(x-1)=5.7 | | 2x^5-15x^4+32x^3+6x^2-60x=0 | | .875r+.25=.75+.375r | | 2(c-5)=3(c-6) | | 14(x-7)=42 | | -15+4x=-6(x+8)-x | | (8x+4)(9x^2+8x+2)=0 | | 3-y-5y-5x+6+2x= | | 6x^2+8x+2= | | 3+3(2n+3)-n= | | 4m-4= | | .33b+8=.5b-4 | | 9x^2-48x+48=0 | | -1+13=5b-1-4b | | 8-8=19z-12z | | 32=-4w+w^2 | | log(3x)=log(4)+log(x-2) | | x+6x=-35 | | x^3-5x^2-66x=0 | | 5-2-7y+8y-3x-10x= | | 40+14s+s^2=0 | | -(4-5y)= |

Equations solver categories