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

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


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

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

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

Multiply (3 + 4x) * (5 + 3x)
2(3(5 + 3x) + 4x * (5 + 3x)) = 0
2((5 * 3 + 3x * 3) + 4x * (5 + 3x)) = 0
2((15 + 9x) + 4x * (5 + 3x)) = 0
2(15 + 9x + (5 * 4x + 3x * 4x)) = 0
2(15 + 9x + (20x + 12x2)) = 0

Combine like terms: 9x + 20x = 29x
2(15 + 29x + 12x2) = 0
(15 * 2 + 29x * 2 + 12x2 * 2) = 0
(30 + 58x + 24x2) = 0

Solving
30 + 58x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 29x + 12x2) = 0

Factor a trinomial.
2((5 + 3x)(3 + 4x)) = 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 '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-1.666666667, -0.75}

See similar equations:

| 2(4x+3)(3x+5)=X^2+58x+B | | 38a+14=15 | | 8s^2-80s+30=-10 | | 4(h+5)60= | | P=4u | | 4y=2(-5)-2 | | (7x-22)= | | 8-2x+3=2x-7 | | 2.5x+20=5x | | 5x-20=2.5x | | 5-3x=2x+5 | | 2N-29=11 | | 3x-4x-1=4 | | 3X^3-X^2-18X+9=0 | | 0.10x+7.5-0.15x=6 | | 0.02x+2-0.1x=0.7 | | 6xy-9y= | | 9q-8=18 | | 10(t-2)+5=5(3t+2)-9 | | (4y+4)-(2+3y)=11 | | 12-(x-4)=5x+2(x+16) | | 4P-8=20 | | (3d-7)-(d-2d)= | | x^2-44x+1600=0 | | 3x-5=7x+2 | | 0=-6+x^2+ABS(x) | | 6-x^2=ABS(x) | | 2x+29=9x+50 | | 9z-z=-3+5z-1-5 | | 4x^2+64y^2=64 | | 3.2x=2.24 | | 25=.99x |

Equations solver categories