(2x+5)(3x+6)=(3x-1)(x+28)+3x^2+2

Simple and best practice solution for (2x+5)(3x+6)=(3x-1)(x+28)+3x^2+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 (2x+5)(3x+6)=(3x-1)(x+28)+3x^2+2 equation: 


Simplifying
(2x + 5)(3x + 6) = (3x + -1)(x + 28) + 3x2 + 2

Reorder the terms:
(5 + 2x)(3x + 6) = (3x + -1)(x + 28) + 3x2 + 2

Reorder the terms:
(5 + 2x)(6 + 3x) = (3x + -1)(x + 28) + 3x2 + 2

Multiply (5 + 2x) * (6 + 3x)
(5(6 + 3x) + 2x * (6 + 3x)) = (3x + -1)(x + 28) + 3x2 + 2
((6 * 5 + 3x * 5) + 2x * (6 + 3x)) = (3x + -1)(x + 28) + 3x2 + 2
((30 + 15x) + 2x * (6 + 3x)) = (3x + -1)(x + 28) + 3x2 + 2
(30 + 15x + (6 * 2x + 3x * 2x)) = (3x + -1)(x + 28) + 3x2 + 2
(30 + 15x + (12x + 6x2)) = (3x + -1)(x + 28) + 3x2 + 2

Combine like terms: 15x + 12x = 27x
(30 + 27x + 6x2) = (3x + -1)(x + 28) + 3x2 + 2

Reorder the terms:
30 + 27x + 6x2 = (-1 + 3x)(x + 28) + 3x2 + 2

Reorder the terms:
30 + 27x + 6x2 = (-1 + 3x)(28 + x) + 3x2 + 2

Multiply (-1 + 3x) * (28 + x)
30 + 27x + 6x2 = (-1(28 + x) + 3x * (28 + x)) + 3x2 + 2
30 + 27x + 6x2 = ((28 * -1 + x * -1) + 3x * (28 + x)) + 3x2 + 2
30 + 27x + 6x2 = ((-28 + -1x) + 3x * (28 + x)) + 3x2 + 2
30 + 27x + 6x2 = (-28 + -1x + (28 * 3x + x * 3x)) + 3x2 + 2
30 + 27x + 6x2 = (-28 + -1x + (84x + 3x2)) + 3x2 + 2

Combine like terms: -1x + 84x = 83x
30 + 27x + 6x2 = (-28 + 83x + 3x2) + 3x2 + 2

Reorder the terms:
30 + 27x + 6x2 = -28 + 2 + 83x + 3x2 + 3x2

Combine like terms: -28 + 2 = -26
30 + 27x + 6x2 = -26 + 83x + 3x2 + 3x2

Combine like terms: 3x2 + 3x2 = 6x2
30 + 27x + 6x2 = -26 + 83x + 6x2

Add '-6x2' to each side of the equation.
30 + 27x + 6x2 + -6x2 = -26 + 83x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
30 + 27x + 0 = -26 + 83x + 6x2 + -6x2
30 + 27x = -26 + 83x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
30 + 27x = -26 + 83x + 0
30 + 27x = -26 + 83x

Solving
30 + 27x = -26 + 83x

Solving for variable 'x'.

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

Add '-83x' to each side of the equation.
30 + 27x + -83x = -26 + 83x + -83x

Combine like terms: 27x + -83x = -56x
30 + -56x = -26 + 83x + -83x

Combine like terms: 83x + -83x = 0
30 + -56x = -26 + 0
30 + -56x = -26

Add '-30' to each side of the equation.
30 + -30 + -56x = -26 + -30

Combine like terms: 30 + -30 = 0
0 + -56x = -26 + -30
-56x = -26 + -30

Combine like terms: -26 + -30 = -56
-56x = -56

Divide each side by '-56'.
x = 1

Simplifying
x = 1

See similar equations:

| 7x=(3x-5)+(8x+5) | | 0.5x+1=0.1+0.3x+0.9 | | 10-4x=45 | | y=1.5x*4 | | -7r-2(4r+9)= | | 12+x=6x | | 25x^2+43=0 | | n-13=-23 | | 2(-2)=-4 | | 5(z+6)=6+z | | 4.293=x/(0.3-x)(0.4-x) | | 16+x=2x | | -3(2)=-6 | | 10x-7=3(3x+3)-2 | | X=1/12y^2 | | x^4-13(x^2-3)=3 | | 4.293=x/(.3-x)(.4-x) | | 3/7(x−3)=3 | | 35x=1.6 | | 1-3/y/1-9/y^2 | | F(x)=-x^2+6x-7 | | .20(x+80)+1.40x=80 | | 10-3x=70-5x | | 6r+5r-4r= | | 4x+15x=-10 | | 2x^2+x-2= | | 2w+4x-14y+4w+8x+9y= | | 3m-15+1=10 | | ln(10)-ln(7-x)=ln(x) | | 0=3x^2-6 | | 2m^2-3m-3= | | X^2-13/2x-10 |

Equations solver categories