2x^2-(x+12)*(2x+3)=18

Simple and best practice solution for 2x^2-(x+12)*(2x+3)=18 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^2-(x+12)*(2x+3)=18 equation: 


Simplifying
2x2 + -1(x + 12)(2x + 3) = 18

Reorder the terms:
2x2 + -1(12 + x)(2x + 3) = 18

Reorder the terms:
2x2 + -1(12 + x)(3 + 2x) = 18

Multiply (12 + x) * (3 + 2x)
2x2 + -1(12(3 + 2x) + x(3 + 2x)) = 18
2x2 + -1((3 * 12 + 2x * 12) + x(3 + 2x)) = 18
2x2 + -1((36 + 24x) + x(3 + 2x)) = 18
2x2 + -1(36 + 24x + (3 * x + 2x * x)) = 18
2x2 + -1(36 + 24x + (3x + 2x2)) = 18

Combine like terms: 24x + 3x = 27x
2x2 + -1(36 + 27x + 2x2) = 18
2x2 + (36 * -1 + 27x * -1 + 2x2 * -1) = 18
2x2 + (-36 + -27x + -2x2) = 18

Reorder the terms:
-36 + -27x + 2x2 + -2x2 = 18

Combine like terms: 2x2 + -2x2 = 0
-36 + -27x + 0 = 18
-36 + -27x = 18

Solving
-36 + -27x = 18

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + -27x = 18 + 36

Combine like terms: -36 + 36 = 0
0 + -27x = 18 + 36
-27x = 18 + 36

Combine like terms: 18 + 36 = 54
-27x = 54

Divide each side by '-27'.
x = -2

Simplifying
x = -2

See similar equations:

| -20+p=-32 | | 15x-(3x-5)(4x+5)=5-12x^2 | | 120+20x=180+40x | | -16=a-1 | | 3x-(30+4x)=12x-15-4x+3 | | 3/16=d/64 | | 4=m+7 | | 6r=-102 | | x^3-3x^2+3x-1=100 | | x+8+2x-1+3x-3=180 | | 12-2(p+3)=24+4(3p+6) | | -9=a/8 | | 2(x-4)+0.5(2+8x)=8 | | 4/7=56/ | | 2(2-j)=4(j-10) | | 5x^2=5x+30 | | 14+5x=3(-x+3)-3 | | -8=4+4w | | 3+2w=-1 | | 0+v-17v=4 | | 20x+9y=4 | | 1000*2=(160X)*2+(120X)*2 | | 5200=2+6ln(2q+1) | | -16=3w+5 | | x-1÷4=3/4 | | (2/5x-1)(2-x) | | 5p-3=2p+15 | | 9x+14=-9x-20 | | 80+8x=240 | | w+16=3w | | .5(4x+8)=.20(15-20x) | | 2.2-6.9= |

Equations solver categories