(2x+3)(x+1)+(2x+3)(3x+2)+4x^2-9=0

Simple and best practice solution for (2x+3)(x+1)+(2x+3)(3x+2)+4x^2-9=0 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+3)(x+1)+(2x+3)(3x+2)+4x^2-9=0 equation: 


Simplifying
(2x + 3)(x + 1) + (2x + 3)(3x + 2) + 4x2 + -9 = 0

Reorder the terms:
(3 + 2x)(x + 1) + (2x + 3)(3x + 2) + 4x2 + -9 = 0

Reorder the terms:
(3 + 2x)(1 + x) + (2x + 3)(3x + 2) + 4x2 + -9 = 0

Multiply (3 + 2x) * (1 + x)
(3(1 + x) + 2x * (1 + x)) + (2x + 3)(3x + 2) + 4x2 + -9 = 0
((1 * 3 + x * 3) + 2x * (1 + x)) + (2x + 3)(3x + 2) + 4x2 + -9 = 0
((3 + 3x) + 2x * (1 + x)) + (2x + 3)(3x + 2) + 4x2 + -9 = 0
(3 + 3x + (1 * 2x + x * 2x)) + (2x + 3)(3x + 2) + 4x2 + -9 = 0
(3 + 3x + (2x + 2x2)) + (2x + 3)(3x + 2) + 4x2 + -9 = 0

Combine like terms: 3x + 2x = 5x
(3 + 5x + 2x2) + (2x + 3)(3x + 2) + 4x2 + -9 = 0

Reorder the terms:
3 + 5x + 2x2 + (3 + 2x)(3x + 2) + 4x2 + -9 = 0

Reorder the terms:
3 + 5x + 2x2 + (3 + 2x)(2 + 3x) + 4x2 + -9 = 0

Multiply (3 + 2x) * (2 + 3x)
3 + 5x + 2x2 + (3(2 + 3x) + 2x * (2 + 3x)) + 4x2 + -9 = 0
3 + 5x + 2x2 + ((2 * 3 + 3x * 3) + 2x * (2 + 3x)) + 4x2 + -9 = 0
3 + 5x + 2x2 + ((6 + 9x) + 2x * (2 + 3x)) + 4x2 + -9 = 0
3 + 5x + 2x2 + (6 + 9x + (2 * 2x + 3x * 2x)) + 4x2 + -9 = 0
3 + 5x + 2x2 + (6 + 9x + (4x + 6x2)) + 4x2 + -9 = 0

Combine like terms: 9x + 4x = 13x
3 + 5x + 2x2 + (6 + 13x + 6x2) + 4x2 + -9 = 0

Reorder the terms:
3 + 6 + -9 + 5x + 13x + 2x2 + 6x2 + 4x2 = 0

Combine like terms: 3 + 6 = 9
9 + -9 + 5x + 13x + 2x2 + 6x2 + 4x2 = 0

Combine like terms: 9 + -9 = 0
0 + 5x + 13x + 2x2 + 6x2 + 4x2 = 0
5x + 13x + 2x2 + 6x2 + 4x2 = 0

Combine like terms: 5x + 13x = 18x
18x + 2x2 + 6x2 + 4x2 = 0

Combine like terms: 2x2 + 6x2 = 8x2
18x + 8x2 + 4x2 = 0

Combine like terms: 8x2 + 4x2 = 12x2
18x + 12x2 = 0

Solving
18x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + 2x) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.5}

See similar equations:

| 15/5t | | -20x^3+28x^2-1=0 | | 3x^(2/3)-14=34 | | 0.1(2)+x=0.3(2+x) | | 3x^2/3-14=34 | | h=-16t^2+136t+5 | | x=180/x-3 | | 5b-2b+3a-1a= | | 0.2(5)*x=0.4(5+x) | | 5x+9=-49-9x | | 7sinx+5cosx=0 | | 0.2(4)x=0.4(4+x) | | 10x+25(x+18)=2970 | | 4*x^2+x^4-1=0 | | 3z/7-3=8 | | 4*x^2*x^4-1=0 | | 0.2(4)+x=0.4(4+x) | | 6x-20=8x+3 | | 2x(5+6x)=2(3x+5x) | | 2a+2b-7= | | 6(y-4)/5=-3y | | (x+5)-29=2(x-29) | | x-1x+x+3=32 | | x^2+12=5x^2 | | 7z+12= | | -26=2(3d-7) | | 17-(-2x)=11 | | -.6(6x-27)=-4 | | 2x^4-2x^2=12 | | 3-2/2x=5x-8 | | 10b^2-9b-1=0 | | 20=(1.06/x)-.006 |

Equations solver categories