(x+8)(2x-13)=0

Simple and best practice solution for (x+8)(2x-13)=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+8)(2x-13)=0 equation: 


Simplifying
(x + 8)(2x + -13) = 0

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

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

Multiply (8 + x) * (-13 + 2x)
(8(-13 + 2x) + x(-13 + 2x)) = 0
((-13 * 8 + 2x * 8) + x(-13 + 2x)) = 0
((-104 + 16x) + x(-13 + 2x)) = 0
(-104 + 16x + (-13 * x + 2x * x)) = 0
(-104 + 16x + (-13x + 2x2)) = 0

Combine like terms: 16x + -13x = 3x
(-104 + 3x + 2x2) = 0

Solving
-104 + 3x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(13 + -2x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, 6.5}

See similar equations:

| 3a^2-10-a=0 | | (6x+50)=110 | | 40+(6x+2)=90 | | 0.50(t-8)=0.25t | | 2y^2+y+3=0 | | 7x-2-7x+6= | | -8-k/0.2= | | -32=A+5 | | w/2-3(72)=5 | | C^2+5=8c-10 | | 4x-7=-2x+11 | | 29+296+(x-24)=360 | | 9x+20+3x+10=180 | | 26=a-14+8 | | 3y-6x=30 | | 9(2x)=72 | | 45=Z-17 | | 13x-7=8x+13 | | 2x+25=10x+39 | | (r•9)/2=27 | | 5/2u=35 | | 45=2t-251 | | (4x-10)=90 | | y-1=5x+2x | | 4u+4(u-6)=8 | | P(0.85)=23.80 | | -6v+3(v+2)=36 | | x/10-3=-1 | | (3x-7)+(x-4)=0 | | r/2-(-6)= | | 3(x-2)=5x+2 | | -25t^2+5t+12=0 |

Equations solver categories