3x^2(4x+5)(x^2-16)(x^2+9)=0

Simple and best practice solution for 3x^2(4x+5)(x^2-16)(x^2+9)=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^2-16)(x^2+9)=0 equation:


Simplifying
3x2(4x + 5)(x2 + -16)(x2 + 9) = 0

Reorder the terms:
3x2(5 + 4x)(x2 + -16)(x2 + 9) = 0

Reorder the terms:
3x2(5 + 4x)(-16 + x2)(x2 + 9) = 0

Reorder the terms:
3x2(5 + 4x)(-16 + x2)(9 + x2) = 0

Multiply (5 + 4x) * (-16 + x2)
3x2(5(-16 + x2) + 4x * (-16 + x2))(9 + x2) = 0
3x2((-16 * 5 + x2 * 5) + 4x * (-16 + x2))(9 + x2) = 0
3x2((-80 + 5x2) + 4x * (-16 + x2))(9 + x2) = 0
3x2(-80 + 5x2 + (-16 * 4x + x2 * 4x))(9 + x2) = 0
3x2(-80 + 5x2 + (-64x + 4x3))(9 + x2) = 0

Reorder the terms:
3x2(-80 + -64x + 5x2 + 4x3)(9 + x2) = 0
3x2(-80 + -64x + 5x2 + 4x3)(9 + x2) = 0

Multiply (-80 + -64x + 5x2 + 4x3) * (9 + x2)
3x2(-80(9 + x2) + -64x * (9 + x2) + 5x2 * (9 + x2) + 4x3 * (9 + x2)) = 0
3x2((9 * -80 + x2 * -80) + -64x * (9 + x2) + 5x2 * (9 + x2) + 4x3 * (9 + x2)) = 0
3x2((-720 + -80x2) + -64x * (9 + x2) + 5x2 * (9 + x2) + 4x3 * (9 + x2)) = 0
3x2(-720 + -80x2 + (9 * -64x + x2 * -64x) + 5x2 * (9 + x2) + 4x3 * (9 + x2)) = 0
3x2(-720 + -80x2 + (-576x + -64x3) + 5x2 * (9 + x2) + 4x3 * (9 + x2)) = 0
3x2(-720 + -80x2 + -576x + -64x3 + (9 * 5x2 + x2 * 5x2) + 4x3 * (9 + x2)) = 0
3x2(-720 + -80x2 + -576x + -64x3 + (45x2 + 5x4) + 4x3 * (9 + x2)) = 0
3x2(-720 + -80x2 + -576x + -64x3 + 45x2 + 5x4 + (9 * 4x3 + x2 * 4x3)) = 0
3x2(-720 + -80x2 + -576x + -64x3 + 45x2 + 5x4 + (36x3 + 4x5)) = 0

Reorder the terms:
3x2(-720 + -576x + -80x2 + 45x2 + -64x3 + 36x3 + 5x4 + 4x5) = 0

Combine like terms: -80x2 + 45x2 = -35x2
3x2(-720 + -576x + -35x2 + -64x3 + 36x3 + 5x4 + 4x5) = 0

Combine like terms: -64x3 + 36x3 = -28x3
3x2(-720 + -576x + -35x2 + -28x3 + 5x4 + 4x5) = 0
(-720 * 3x2 + -576x * 3x2 + -35x2 * 3x2 + -28x3 * 3x2 + 5x4 * 3x2 + 4x5 * 3x2) = 0
(-2160x2 + -1728x3 + -105x4 + -84x5 + 15x6 + 12x7) = 0

Solving
-2160x2 + -1728x3 + -105x4 + -84x5 + 15x6 + 12x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(-720 + -576x + -35x2 + -28x3 + 5x4 + 4x5) = 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 '(-720 + -576x + -35x2 + -28x3 + 5x4 + 4x5)' equal to zero and attempt to solve:

Simplifying
-720 + -576x + -35x2 + -28x3 + 5x4 + 4x5 = 0

Solving
-720 + -576x + -35x2 + -28x3 + 5x4 + 4x5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| 19x-23=-47 | | q^2-6q-27= | | q^2-6q-72= | | -11-3r=-2 | | 8(x+5)=3(x+25) | | p^2+6p-16= | | 4/7m=44 | | (6n^3+5n^2+3)+(2u^3-6u+5)= | | z^2+15+54= | | 3(2x-1)+x+8=54 | | s^2-3s-54= | | -0.2x+0.1(x+400)=56 | | 3(3x-9)=27-4x | | -6(x+3)-15=10+5 | | 10cosx-7sinx=0 | | 10cosx-7cosx=0 | | -2(3x-8)=-9+5x | | 3sin(2x)=-2cos^2(2x) | | 4x-1=134-11x | | 2(7x-2)=6(2x+1) | | 2x-9=180 | | 3-7=14 | | G^2+g-20= | | 11(x+4)=33 | | m^2+9m+14= | | 7+37=2k | | 2x-3y+2z=9 | | 3y=6m | | y-8-y+6=9y | | -9(t+1)=7 | | d^2-5d-36= | | 9-.5x^2=3sin(x+1) |

Equations solver categories