(3x+2)(4x+10)2=

Simple and best practice solution for (3x+2)(4x+10)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+2)(4x+10)2= equation: 


Simplifying
(3x + 2)(4x + 10) * 2 = 0

Reorder the terms:
(2 + 3x)(4x + 10) * 2 = 0

Reorder the terms:
(2 + 3x)(10 + 4x) * 2 = 0

Reorder the terms for easier multiplication:
2(2 + 3x)(10 + 4x) = 0

Multiply (2 + 3x) * (10 + 4x)
2(2(10 + 4x) + 3x * (10 + 4x)) = 0
2((10 * 2 + 4x * 2) + 3x * (10 + 4x)) = 0
2((20 + 8x) + 3x * (10 + 4x)) = 0
2(20 + 8x + (10 * 3x + 4x * 3x)) = 0
2(20 + 8x + (30x + 12x2)) = 0

Combine like terms: 8x + 30x = 38x
2(20 + 38x + 12x2) = 0
(20 * 2 + 38x * 2 + 12x2 * 2) = 0
(40 + 76x + 24x2) = 0

Solving
40 + 76x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + 19x + 6x2) = 0

Factor a trinomial.
4((5 + 2x)(2 + 3x)) = 0

Ignore the factor 4.

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:

| 37x-15=-13+85 | | 6x+8=-120-9 | | 8x+10=-8 | | -6(2-7m)=-2m+32 | | (y+3)(y^2-6y+1)= | | 20-4x=5+10 | | 8(1-x)=3x-4(1+2x) | | 25+4x=39 | | (y+5)(y^2-7y-10)= | | (10*r*s*r^2+rs)*(r^3-rs*8*r^2*s)= | | (3y+3)(4y^2+5y+20)= | | 1x=-12 | | 0.5p=60-q | | 0.75x^2-12=0 | | 0.5x=60-q | | (2y+7)(8y^2-6y+1)= | | 4a+6=7 | | x^2+3x=-12 | | 8*(-12)+12=5(-12)-24 | | 22-4x=-5(x-4) | | 18x+20=-2x-20 | | (x^2-6x+2)(x^2+3x+2)= | | 4x^4+4=17x^2 | | 10x-18=7x-6 | | 8*(-12)= | | 0.4y=1.44 | | -(-6k-6)-6(k+5)=-7k-k | | (x^2-2x+1)(x^2+5x+6)= | | (10*y*z)*(2*y*z+6)= | | 3(5a+b)+4(a+2b)= | | x^4+12=x^2 | | (2x+1)(x^2+6x+2)= |

Equations solver categories