5x(5x-9)(7x-4)=0

Simple and best practice solution for 5x(5x-9)(7x-4)=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(5x-9)(7x-4)=0 equation: 


Simplifying
5x(5x + -9)(7x + -4) = 0

Reorder the terms:
5x(-9 + 5x)(7x + -4) = 0

Reorder the terms:
5x(-9 + 5x)(-4 + 7x) = 0

Multiply (-9 + 5x) * (-4 + 7x)
5x(-9(-4 + 7x) + 5x * (-4 + 7x)) = 0
5x((-4 * -9 + 7x * -9) + 5x * (-4 + 7x)) = 0
5x((36 + -63x) + 5x * (-4 + 7x)) = 0
5x(36 + -63x + (-4 * 5x + 7x * 5x)) = 0
5x(36 + -63x + (-20x + 35x2)) = 0

Combine like terms: -63x + -20x = -83x
5x(36 + -83x + 35x2) = 0
(36 * 5x + -83x * 5x + 35x2 * 5x) = 0
(180x + -415x2 + 175x3) = 0

Solving
180x + -415x2 + 175x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(36 + -83x + 35x2) = 0

Factor a trinomial.
5x((4 + -7x)(9 + -5x)) = 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 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 3
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {0, 0.5714285714, 1.8}

See similar equations:

| 3/4z=-5 | | P-7=8p | | 2x+4y-6y+9+x-3x-9+2y= | | 21+87m=-12m^2 | | 1600/5 | | 3(2q-1)+5=2-(q-14) | | 3y+29=-8(y+6) | | (3x-12)(4x+12)=0 | | 2(9x-3)=8(3-x) | | t-11+7t=3(4t-9) | | 750/2122= | | ---------------------------6=n/2-10 | | 35n^2+85n+30=0 | | Cos^2x=3(1-senx)/2 | | (tanx-1)(1secx-1)=0 | | 12w^2+15w-18=0 | | 1tanx-121secx-12=0 | | 9q^2+48q+64=0 | | f(-5)=x(2)-x | | 5p-5=3(3p-5) | | Y=1.4+1.2-0.3+3+1.3-0.6*3.0 | | 10n-8=13+3n | | x+13+5x-6+7x-2x-3x= | | x-(12-x)=39 | | 5+10y= | | -12l=36 | | 48h+2h^2=-46 | | 0=6m-6m | | -22=-6p-5p | | f(x)=x(2)-x | | 2a+29-8y=5 | | 32n^2+80n+50=0 |

Equations solver categories