x(x-7)(3x-5)=0

Simple and best practice solution for x(x-7)(3x-5)=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 x(x-7)(3x-5)=0 equation: 


Simplifying
x(x + -7)(3x + -5) = 0

Reorder the terms:
x(-7 + x)(3x + -5) = 0

Reorder the terms:
x(-7 + x)(-5 + 3x) = 0

Multiply (-7 + x) * (-5 + 3x)
x(-7(-5 + 3x) + x(-5 + 3x)) = 0
x((-5 * -7 + 3x * -7) + x(-5 + 3x)) = 0
x((35 + -21x) + x(-5 + 3x)) = 0
x(35 + -21x + (-5 * x + 3x * x)) = 0
x(35 + -21x + (-5x + 3x2)) = 0

Combine like terms: -21x + -5x = -26x
x(35 + -26x + 3x2) = 0
(35 * x + -26x * x + 3x2 * x) = 0
(35x + -26x2 + 3x3) = 0

Solving
35x + -26x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -26x + 3x2) = 0

Factor a trinomial.
x((5 + -3x)(7 + -1x)) = 0


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

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, 1.666666667, 7}

See similar equations:

| 3(2w-9)=15 | | 12a*(2)7a= | | -4u+-16+u= | | 19(u+1+7v)= | | 49n^2-14n+1=0 | | x^2-420=0 | | 3n+5+2n=5 | | 5.8+x+9.7=65 | | 6x^2-25x+26=0 | | 300m=km | | [8(m+5)-18]+[2(m-2)+5]= | | -3k-4k=7 | | 3w+13=46 | | 8*2n+2=32 | | 2(x+9)-x=36 | | f-28=375 | | -9=0.375n | | 1.5r+4=3.75r-0.5 | | 3w+14=46 | | 4+x=3-6 | | 12x-13-9+10=20 | | r-(-3+6r)=33+5r | | -n-12=5+n | | a+3b+(3a-b)I=6 | | 2*x^2-5*x+3=0 | | 10-2(w-4)=12 | | 16n=4+15n | | y=(x-1)(x-3)(x-5) | | 5x+10x-(9x+5)= | | -5x+3x=3(3x-2) | | 16n=4+5n | | x^2=59 |

Equations solver categories