0=(2x-13)(2x-7)

Simple and best practice solution for 0=(2x-13)(2x-7) 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 0=(2x-13)(2x-7) equation: 


Simplifying
0 = (2x + -13)(2x + -7)

Reorder the terms:
0 = (-13 + 2x)(2x + -7)

Reorder the terms:
0 = (-13 + 2x)(-7 + 2x)

Multiply (-13 + 2x) * (-7 + 2x)
0 = (-13(-7 + 2x) + 2x * (-7 + 2x))
0 = ((-7 * -13 + 2x * -13) + 2x * (-7 + 2x))
0 = ((91 + -26x) + 2x * (-7 + 2x))
0 = (91 + -26x + (-7 * 2x + 2x * 2x))
0 = (91 + -26x + (-14x + 4x2))

Combine like terms: -26x + -14x = -40x
0 = (91 + -40x + 4x2)

Solving
0 = 91 + -40x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -91 = -91
-91 + 40x + -4x2 = 91 + -40x + 4x2 + -91 + 40x + -4x2

Reorder the terms:
-91 + 40x + -4x2 = 91 + -91 + -40x + 40x + 4x2 + -4x2

Combine like terms: 91 + -91 = 0
-91 + 40x + -4x2 = 0 + -40x + 40x + 4x2 + -4x2
-91 + 40x + -4x2 = -40x + 40x + 4x2 + -4x2

Combine like terms: -40x + 40x = 0
-91 + 40x + -4x2 = 0 + 4x2 + -4x2
-91 + 40x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-91 + 40x + -4x2 = 0

Factor a trinomial.
(-13 + 2x)(7 + -2x) = 0


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

Simplifying
-13 + 2x = 0

Solving
-13 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {6.5, 3.5}

See similar equations:

| 136=y+114 | | h=3(p+2k) | | 8x+3y+9=0 | | 7n+5n=60 | | 6x-3x-x=8 | | 8u-4=4u | | 7x-10y=4 | | 21=y-20 | | 10-17x-20x^2=0 | | a/4-a/3=-1/2 | | 19x+8-7x=48-8x | | 5=5*(2x-6) | | 4a^3= | | 15x=5x+13 | | 2x-6=x+1 | | 10-8x=50 | | 6x(5-3m)+3(5m-4)=0 | | -4x+24=-5x | | 9x-120=2x-8 | | 10w+21.5=4(8w+0.6)-1.80 | | 9x-120= | | 7k=7 | | 4z+10-z=1+2z+2 | | 8(3n-5)-5(2n-8)=20+4n | | 10w+21.5=(8w+0.6)-1.80 | | 5y-8=6y-6 | | 3x^2+6x^2-x^2= | | 6(5-3m)+3(5m-4)=0 | | 3x^2+6x^2-x^2=8x^2 | | (x-5)=2 | | -7x+1=3x-2 | | 8-8x=35-29 |

Equations solver categories