(x-5)(2x-6)=0

Simple and best practice solution for (x-5)(2x-6)=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-5)(2x-6)=0 equation:


Simplifying
(x + -5)(2x + -6) = 0

Reorder the terms:
(-5 + x)(2x + -6) = 0

Reorder the terms:
(-5 + x)(-6 + 2x) = 0

Multiply (-5 + x) * (-6 + 2x)
(-5(-6 + 2x) + x(-6 + 2x)) = 0
((-6 * -5 + 2x * -5) + x(-6 + 2x)) = 0
((30 + -10x) + x(-6 + 2x)) = 0
(30 + -10x + (-6 * x + 2x * x)) = 0
(30 + -10x + (-6x + 2x2)) = 0

Combine like terms: -10x + -6x = -16x
(30 + -16x + 2x2) = 0

Solving
30 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -8x + x2) = 0

Factor a trinomial.
2((3 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

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 = {3, 5}

See similar equations:

| 3x-2x[4-(2x-1)]= | | 1-2m+5=1010 | | 6x+9=-54x-3x | | 4ln(3x-2)=4 | | 5(2x-7)=18 | | 8+8x=32 | | 3x+4[3x-5]=10x | | y=(3x-1)/(x-4) | | 7x-(3x+4)=5x-10 | | 5+log[3](-4x)=6 | | 54x+2=55x | | (2x-3)(x^2-5x+1)= | | 2(v+3)-5v=-3(v+3) | | 13x+11=14x+3 | | 30+(30*0)+1= | | N=35.5-9.5 | | N=30.5-9.5 | | 2u=46 | | x/8-6=19 | | 210/4.5 | | 81x^3-24=0 | | 7y-4=10y+23 | | tan42=x/5 | | 3x+9x-2x+x= | | y=5x^2+15x+2 | | f(0)=x^3+x^2+1 | | 2x+26=60 | | 12p+5+4p+33p= | | (2x^2+2X-15)(3x-1)=0 | | 9d+8=6d+32 | | 12x-3+19x-3=180 | | 94-87= |

Equations solver categories