5x(x-4)(2x-9)=0

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


Simplifying
5x(x + -4)(2x + -9) = 0

Reorder the terms:
5x(-4 + x)(2x + -9) = 0

Reorder the terms:
5x(-4 + x)(-9 + 2x) = 0

Multiply (-4 + x) * (-9 + 2x)
5x(-4(-9 + 2x) + x(-9 + 2x)) = 0
5x((-9 * -4 + 2x * -4) + x(-9 + 2x)) = 0
5x((36 + -8x) + x(-9 + 2x)) = 0
5x(36 + -8x + (-9 * x + 2x * x)) = 0
5x(36 + -8x + (-9x + 2x2)) = 0

Combine like terms: -8x + -9x = -17x
5x(36 + -17x + 2x2) = 0
(36 * 5x + -17x * 5x + 2x2 * 5x) = 0
(180x + -85x2 + 10x3) = 0

Solving
180x + -85x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(36 + -17x + 2x2) = 0

Factor a trinomial.
5x((4 + -1x)(9 + -2x)) = 0

Ignore the factor 5.

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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 3
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, 4, 4.5}

See similar equations:

| 4(5c-1)-6=18c+2 | | 1-10n=-2n+35 | | 3x-13=x+19 | | 8b+12=60 | | Y-3x=-16 | | 8x+2(-5x+1)=-2 | | 125n-234=266 | | 9d-2=52 | | 8n+30n=18 | | 5x-48=3x | | 2x^2-8-10=0 | | 7r-5=-19 | | 4x+7=2x-13 | | 2v+84=9v | | 7x-7=43 | | 8n+-20-28n=-2n+-2 | | 2(4-8x-7x)+9(2x+8)=8 | | -2p+11=-17 | | 2x-45b-72= | | x-17=5-2 | | 2y^2+4y+1=0 | | 5(2h-2)=38 | | 5-6x=-19 | | 6p+1=6p+3 | | 7x+3=-4+5x+11 | | h(t)=3t-36 | | -3k+6=-10+5k | | -b+4b=8b-1 | | 16x+3=-14 | | 5+x-4=6 | | z=5x-2y | | -5(x-5)-27=-2 |

Equations solver categories