(2x-10)(6x-1)=0

Simple and best practice solution for (2x-10)(6x-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)(6x-1)=0 equation: 


Simplifying
(2x + -10)(6x + -1) = 0

Reorder the terms:
(-10 + 2x)(6x + -1) = 0

Reorder the terms:
(-10 + 2x)(-1 + 6x) = 0

Multiply (-10 + 2x) * (-1 + 6x)
(-10(-1 + 6x) + 2x * (-1 + 6x)) = 0
((-1 * -10 + 6x * -10) + 2x * (-1 + 6x)) = 0
((10 + -60x) + 2x * (-1 + 6x)) = 0
(10 + -60x + (-1 * 2x + 6x * 2x)) = 0
(10 + -60x + (-2x + 12x2)) = 0

Combine like terms: -60x + -2x = -62x
(10 + -62x + 12x2) = 0

Solving
10 + -62x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -31x + 6x2) = 0

Factor a trinomial.
2((1 + -6x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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 = {0.1666666667, 5}

See similar equations:

| 8m=8+7m | | 23x+2x=x+23 | | 5(8-12x)=6(4-10x) | | 4-10n=-10-8n | | 23+2x=x+23 | | 5(8-12x)=6x(4-10x) | | x=-(2)+-v | | 8=7(y-7) | | 5x(8-12x)=6x(4-10x) | | 19+4x=-6(8x-5) | | 5x+2=4(x-6)+7 | | X^3+2x^3-21x-12=0 | | 3x+8=x+72 | | 7-7y=8-8y | | 4(11-x)=2 | | 40cm*30cm*h=3m | | 7y+6=6y-1 | | 3(2+-4)-t+5=5t-7 | | 3=4z+6z | | 24x-12+6=0 | | 5x+x+10+5x+x+10=3x+5x-6+3x+5x-6 | | 3[x+(-21)]-2x=-1 | | 4(3z-1)-3(z+6)=7(z+1) | | x-y+3z=-1 | | (x*x)+10x+9=0 | | 8x+4y=146 | | (x*x)+10x+9=(x+5)(x+5)-16 | | -7(t-2)-(t+5)=10 | | (2x+2)(5x-5)=5 | | 4f+6g= | | 4r=w-6r | | -7x+11x-41=23 |

Equations solver categories