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

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


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

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

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

Multiply (-6 + 2x) * (-1 + 2x)
(-6(-1 + 2x) + 2x * (-1 + 2x)) = 0
((-1 * -6 + 2x * -6) + 2x * (-1 + 2x)) = 0
((6 + -12x) + 2x * (-1 + 2x)) = 0
(6 + -12x + (-1 * 2x + 2x * 2x)) = 0
(6 + -12x + (-2x + 4x2)) = 0

Combine like terms: -12x + -2x = -14x
(6 + -14x + 4x2) = 0

Solving
6 + -14x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -7x + 2x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

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

Solution

x = {0.5, 3}

See similar equations:

| 6(x+9+4y)= | | x+5+5=16 | | 21a-7b+2a-12b= | | 1.50=4x+33.96 | | 8(1x-24)-2(1x-2)=x+5 | | 8a+a-3b^2= | | 5-1/3a | | 11m-2m= | | 7x^2y+91xy-49y= | | 9q+0.2q=27.6 | | 1+6y-14y= | | (2x-1)/6 | | x+10+15+10=43 | | -10x+32=-10x+-20 | | 350d+15=200d+25 | | 4m-4=3m+1 | | R=1 | | 27m=324 | | 3x(x+1)=4x-x+3 | | 7x-13=-34 | | (2x-6)/6 | | y=2x^2+8-4x+x^3 | | 3t^5-18t^4+24t^3= | | 6-2x-7x=1-4x | | (18-8)=(4x+16) | | 9x-3(x+8)=y | | -4x-4(-2x+8)=-68 | | 7x-10=3(x+4) | | 15=3(6+x) | | 9x-1.2=0.09x-0.12 | | .9x-1.2=0.09-0.12 | | 60h+1=80h |

Equations solver categories