(2x+5)(6x+4)=

Simple and best practice solution for (2x+5)(6x+4)= 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)(6x+4)= equation: 


Simplifying
(2x + 5)(6x + 4) = 0

Reorder the terms:
(5 + 2x)(6x + 4) = 0

Reorder the terms:
(5 + 2x)(4 + 6x) = 0

Multiply (5 + 2x) * (4 + 6x)
(5(4 + 6x) + 2x * (4 + 6x)) = 0
((4 * 5 + 6x * 5) + 2x * (4 + 6x)) = 0
((20 + 30x) + 2x * (4 + 6x)) = 0
(20 + 30x + (4 * 2x + 6x * 2x)) = 0
(20 + 30x + (8x + 12x2)) = 0

Combine like terms: 30x + 8x = 38x
(20 + 38x + 12x2) = 0

Solving
20 + 38x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 19x + 6x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-2.5, -0.6666666667}

See similar equations:

| 3x-x=10x-66 | | 47=2x+7x-7 | | (7p+5q)(-2p+6q)= | | -2+4x=14 | | 0=z^2-6z+5 | | 6x+102=15x-6 | | -2x+6y=15 | | -2p=40 | | 18-3u=9 | | 66=7 | | 7+3x=8(3+x) | | -7x+2=-5 | | 5x^2-9x-89= | | 20+x=25 | | -7(e-6)+4(4e+5)= | | 6x+17=77 | | -6(x-8)=-6x+48 | | 17a-32=4+13a | | 2x-7x+6=0 | | 0=-2t^2+6t+3.5 | | 22=x^2-13x | | 5w=-6w+11 | | 0.36=.15x | | x+2x=8 | | 3s-5s=4s+6 | | 2lny=lne-3lnx | | 2lny=lne-3lnc | | a^2+2a-80=0 | | a^2-2a-80=0 | | 6.3x/42-6x/28=1200 | | 8x-19=80 | | (a^2+1)=81 |

Equations solver categories