4x(x-7)(5x-1)=0

Simple and best practice solution for 4x(x-7)(5x-1)=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(x-7)(5x-1)=0 equation: 


Simplifying
4x(x + -7)(5x + -1) = 0

Reorder the terms:
4x(-7 + x)(5x + -1) = 0

Reorder the terms:
4x(-7 + x)(-1 + 5x) = 0

Multiply (-7 + x) * (-1 + 5x)
4x(-7(-1 + 5x) + x(-1 + 5x)) = 0
4x((-1 * -7 + 5x * -7) + x(-1 + 5x)) = 0
4x((7 + -35x) + x(-1 + 5x)) = 0
4x(7 + -35x + (-1 * x + 5x * x)) = 0
4x(7 + -35x + (-1x + 5x2)) = 0

Combine like terms: -35x + -1x = -36x
4x(7 + -36x + 5x2) = 0
(7 * 4x + -36x * 4x + 5x2 * 4x) = 0
(28x + -144x2 + 20x3) = 0

Solving
28x + -144x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(7 + -36x + 5x2) = 0

Factor a trinomial.
4x((1 + -5x)(7 + -1x)) = 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 '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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, 0.2, 7}

See similar equations:

| (3x-4y)(3y+4y)=2 | | 6(3x-y)= | | 3x+5x-100=28 | | 4x/5(5/4) | | -9(1-4d)=16 | | 5v^2-16v+16=0 | | 4x+3.2=2x+1.4 | | 2ln(y-5)=x | | -19x-(17-7x)= | | 3x+1=-5+y | | F(3)=5x^2-20 | | 28x+40y=532 | | 50x+10(1-x)=30 | | 6w+10=4(w+2) | | -32=3p+5+p | | 2^4•2^-7=1/2^3 | | c-15+19=-45 | | 2(3y)-5=14 | | 12+3(4f-5)=-27 | | xtimes1/5=60 | | 12c+c^2+20=0 | | 75/(-0.3) | | 0.55x+0.1x=x-14 | | xX1/5=60 | | X+-4+6x=3x-1+5 | | 5y-5+2y= | | Y=2/3sin3x | | -15x+10x=10-(-1) | | x^2+y^2-3x+8y=0 | | 2ln(x-5)=-4 | | 15x-8y=-9 | | 5(x+4)+2x=29 |

Equations solver categories