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

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


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

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

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

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

Combine like terms: 12x + 20x = 32x
(8 + 32x + 30x2) = 0

Solving
8 + 32x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 16x + 15x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

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

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-0.6666666667, -0.4}

See similar equations:

| 8-(6-8x)=4x+3 | | 4x+-5=2x+13 | | 8b+10b-12/b+2 | | -5/6.5/12.-16/25= | | T=(3U/E) | | 5x^3(5x^5+2x^3-3x^2+2x+15)= | | 6(y+2)-2+7y=0 | | cx-d=ab | | 0.2b+7=0.5b+19 | | 3(k^3)*t-2x^2=t | | (3k^3)*t-2x^2=t | | X^2+23x-24= | | 0.05(8-x)+0.1=0.64 | | 15x+10=11x+4X | | 3/2=5/8+2x/9 | | x(6x+11)=35 | | (2x^2-3)(5x^3-6)= | | 3k^3*t-2x^2=t | | 3/4-3/5x=9/20 | | 2800=p*.04*3.5 | | 11z-5-7z=7 | | -2-10=t/10 | | 2(3-4x)=6-7(2x+4) | | 12y+4y=144y | | 4b^2=64 | | 5x+4y=242 | | 20*3= | | 3x+13=25 | | 9-8x= | | -12=2+5n+2v | | (0.4a-0.1)(0.07a+1)=0 | | 16y+2(2y+3)=16 |

Equations solver categories