(5x-5)(13x-2)=0

Simple and best practice solution for (5x-5)(13x-2)=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-5)(13x-2)=0 equation: 


Simplifying
(5x + -5)(13x + -2) = 0

Reorder the terms:
(-5 + 5x)(13x + -2) = 0

Reorder the terms:
(-5 + 5x)(-2 + 13x) = 0

Multiply (-5 + 5x) * (-2 + 13x)
(-5(-2 + 13x) + 5x * (-2 + 13x)) = 0
((-2 * -5 + 13x * -5) + 5x * (-2 + 13x)) = 0
((10 + -65x) + 5x * (-2 + 13x)) = 0
(10 + -65x + (-2 * 5x + 13x * 5x)) = 0
(10 + -65x + (-10x + 65x2)) = 0

Combine like terms: -65x + -10x = -75x
(10 + -75x + 65x2) = 0

Solving
10 + -75x + 65x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -15x + 13x2) = 0

Factor a trinomial.
5((2 + -13x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(2 + -13x)' equal to zero and attempt to solve:

Simplifying
2 + -13x = 0

Solving
2 + -13x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -13x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 0 + -2
-13x = 0 + -2

Combine like terms: 0 + -2 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.1538461538, 1}

See similar equations:

| 10-2x=4x+1 | | -x+y=12 | | 10-1/3X=9 | | 4u-7v+9v+u+5u+2v= | | h(x)=-0.0022x^2+0.91x+3.2 | | -7x-6y=-20 | | -v=6 | | 3-(3x)=21 | | y=390+17(-50) | | y=780+41(45) | | (6x-5y+4)dy+(y-2x-1)dx=0 | | A=1/2(x-6)(6x-12) | | -6x^2+68=2x^2-4 | | 11x+3y=97 | | On(8x-1)=2 | | 8y-9=14y+39 | | 3x^4+4x^3-8x-80=0 | | 4x-5[5-(8-4x)]= | | 10C+8P=120 | | Q(12-2Q)=0 | | 6x+5x=3x+2-54 | | Q(12-2)=0 | | 1-z=-11 | | -20y-30x=40 | | 2y-50=100x | | 35+5x-11=-6(3-x)+8x | | 1000/200 | | -26x-22=x-90 | | p(-6)=9(-6)+8 | | 3x+105x=180 | | 3x-2=-5x+1 | | 10-y=-4 |

Equations solver categories