(2x-10)(5x-1)=0

Simple and best practice solution for (2x-10)(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 (2x-10)(5x-1)=0 equation: 


Simplifying
(2x + -10)(5x + -1) = 0

Reorder the terms:
(-10 + 2x)(5x + -1) = 0

Reorder the terms:
(-10 + 2x)(-1 + 5x) = 0

Multiply (-10 + 2x) * (-1 + 5x)
(-10(-1 + 5x) + 2x * (-1 + 5x)) = 0
((-1 * -10 + 5x * -10) + 2x * (-1 + 5x)) = 0
((10 + -50x) + 2x * (-1 + 5x)) = 0
(10 + -50x + (-1 * 2x + 5x * 2x)) = 0
(10 + -50x + (-2x + 10x2)) = 0

Combine like terms: -50x + -2x = -52x
(10 + -52x + 10x2) = 0

Solving
10 + -52x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -26x + 5x2) = 0

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

Ignore the factor 2.

Subproblem 1
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 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
Solution
x = {0.2, 5}

See similar equations:

| 9r-5r+7=7r+7-r | | x+2xln=0 | | 76=17+5p | | 1.6m+2=2.16 | | 9r-5r+7=7r-r | | 2(x+1)=6-4(x-5) | | -x-28=18-3x | | 3X-1ab=40whatsx | | 77=7x+4x | | -70+9x=4x+60 | | 1-7x-6=23 | | 3x+50+5x=180 | | 8(v+6)+11=99 | | 35=-4(d+19)+-37 | | (5x+7)+(-6+6)= | | 9x-52=3x+56 | | =x+1 | | 29x=3 | | 64(f-1)=5(6f-6) | | -18+2=-2(x+2) | | .2y+4.34-y=2.3 | | x^8=x^5 | | -14=-1/5n | | 2(3x-6)=-18-3(x+2) | | 1/4t+9=7 | | -8y+(-3xy)+2xy= | | =3[4y-2(x+3)+(2-y)] | | 7+x=4x+1 | | 2x-3+x=30 | | 5(1-4r)+6=-149 | | -3y+9=-6y-15 | | -2.5x=-60 |

Equations solver categories