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

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


Simplifying
4x(2x + 3)(5 + -1x) = 0

Reorder the terms:
4x(3 + 2x)(5 + -1x) = 0

Multiply (3 + 2x) * (5 + -1x)
4x(3(5 + -1x) + 2x * (5 + -1x)) = 0
4x((5 * 3 + -1x * 3) + 2x * (5 + -1x)) = 0
4x((15 + -3x) + 2x * (5 + -1x)) = 0
4x(15 + -3x + (5 * 2x + -1x * 2x)) = 0
4x(15 + -3x + (10x + -2x2)) = 0

Combine like terms: -3x + 10x = 7x
4x(15 + 7x + -2x2) = 0
(15 * 4x + 7x * 4x + -2x2 * 4x) = 0
(60x + 28x2 + -8x3) = 0

Solving
60x + 28x2 + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(15 + 7x + -2x2) = 0

Factor a trinomial.
4x((5 + -1x)(3 + 2x)) = 0

Ignore the factor 4.

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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, 5, -1.5}

See similar equations:

| 8x+4x=51-3 | | 2x^3y+6x^2y+14xy= | | 42x-49= | | -6y-10-12y=4 | | 8x^2+18x=35 | | U=5(3n+34)+9(n+1) | | 3.2b-9=1.4+.6 | | p-11=-25 | | 34-5x=14-8x | | -27-(-9)= | | .7p+4.6=7.3+-.2p | | 3x^2+41x=-60 | | (X+1)(x+1)+2(x-2)=(x+1)(x-2) | | 3x-12=(x+1)-15 | | x(3x^2-147)=-49 | | -15n+6=-14n-1 | | 3x^2-147=-49 | | 8x+5-3x+3= | | 9+3r-2-2r=0 | | (x-3)2+(y-3)2.5=9.5 | | 9x^3+56x^2-12x= | | ax=76 | | 8k^3=2k^2+3k | | -8x-5+8x=8 | | -9x-47=-3x+55 | | [x-(3+3i)][x-(3-3i)](x+1)(x-2)= | | 9x-47=-3x | | 70=x+4(7) | | 611+16=2 | | -4(x+1)-9=12x+11 | | 10+4x=(x-6)+33 | | 2x-5-0x=0 |

Equations solver categories