(2x-5)(13x+39)=0

Simple and best practice solution for (2x-5)(13x+39)=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-5)(13x+39)=0 equation: 


Simplifying
(2x + -5)(13x + 39) = 0

Reorder the terms:
(-5 + 2x)(13x + 39) = 0

Reorder the terms:
(-5 + 2x)(39 + 13x) = 0

Multiply (-5 + 2x) * (39 + 13x)
(-5(39 + 13x) + 2x * (39 + 13x)) = 0
((39 * -5 + 13x * -5) + 2x * (39 + 13x)) = 0
((-195 + -65x) + 2x * (39 + 13x)) = 0
(-195 + -65x + (39 * 2x + 13x * 2x)) = 0
(-195 + -65x + (78x + 26x2)) = 0

Combine like terms: -65x + 78x = 13x
(-195 + 13x + 26x2) = 0

Solving
-195 + 13x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '13'.
13(-15 + x + 2x2) = 0

Factor a trinomial.
13((-3 + -1x)(5 + -2x)) = 0

Ignore the factor 13.

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 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-3, 2.5}

See similar equations:

| X-2sqaured+4=x | | 8k^2+8=0 | | 0=21.26-0.8n | | (5a+9b)-(4b+2a)= | | 3+4q=3q+6 | | 4(x)+4(x+9)=108 | | n^2+4=a-n | | 2x^2+9x-3=2 | | 2X-63=223 | | 0=15-0.08c | | 0=-(x+8)(x-6) | | (4)9x-36=100-4(x) | | -5/2[w-1]=15 | | (2x-9)(3x-9)= | | 0=100-4.75p | | m^2=-12m-36 | | v=100-4.75p | | .3(12)+.05x=.15(36+x) | | 128-u=211 | | 12n-4=14-10n | | G/37=2/9 | | 0=3045-52.2p | | 12+28x=21+27x | | 12+17x=26+15x | | 3x^2+6x-84=0 | | 5(2-c)=25 | | log(5)625= | | 0=6.3-0.25p | | 8x^2-10x+2= | | 18/12=3/2 | | 1/3(1)=X | | 4(2x+1)=11x+1-3x+3 |

Equations solver categories