(3x+5)(4x+2)=

Simple and best practice solution for (3x+5)(4x+2)= 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 (3x+5)(4x+2)= equation: 


Simplifying
(3x + 5)(4x + 2) = 0

Reorder the terms:
(5 + 3x)(4x + 2) = 0

Reorder the terms:
(5 + 3x)(2 + 4x) = 0

Multiply (5 + 3x) * (2 + 4x)
(5(2 + 4x) + 3x * (2 + 4x)) = 0
((2 * 5 + 4x * 5) + 3x * (2 + 4x)) = 0
((10 + 20x) + 3x * (2 + 4x)) = 0
(10 + 20x + (2 * 3x + 4x * 3x)) = 0
(10 + 20x + (6x + 12x2)) = 0

Combine like terms: 20x + 6x = 26x
(10 + 26x + 12x2) = 0

Solving
10 + 26x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 13x + 6x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1.666666667, -0.5}

See similar equations:

| Tn=8.5n-30 | | 7m+12=2.5+2 | | f(x)=-10x+3+x(9x-1) | | (m-3)(m-4)= | | g(x)=6x^2+5-2 | | 15a-17=16a-1a | | (5x+2)(x-4)= | | 4x/9=-7/5 | | 5X^4+3X^3+0.9=0 | | x+7y=64 | | 2x+3x-160=0 | | f(x)=10x^2+4x+12 | | 12xsquared+12x-24=0 | | a*b*c+a*c*c+d*b*c=b*c*c | | 2*(2+y+y)=20 | | x^2+3x+2=72 | | 6y*3+8=44 | | 4x-5x+12x-8x= | | 1.2(x-2)+0.5(1-x)=23 | | n(n+1)=600 | | 50x+52y=20x | | 3x-50/2=8 | | 3(4x+17)=75 | | 10x^2+10x=120 | | f(4)=3x^2-4x-4 | | 8m+24=m-11 | | 4x^3-17x^2+12x-2=0 | | 2xsquared+x=1 | | 2m/5n-m/2 | | (7/8)^-2 | | 3x+7=3-4x | | x^2+1x+2x+2=72 |

Equations solver categories