3x(2x-3)+2x(x+1)=3x+18

Simple and best practice solution for 3x(2x-3)+2x(x+1)=3x+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 3x(2x-3)+2x(x+1)=3x+18 equation:


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

Reorder the terms:
3x(-3 + 2x) + 2x(x + 1) = 3x + 18
(-3 * 3x + 2x * 3x) + 2x(x + 1) = 3x + 18
(-9x + 6x2) + 2x(x + 1) = 3x + 18

Reorder the terms:
-9x + 6x2 + 2x(1 + x) = 3x + 18
-9x + 6x2 + (1 * 2x + x * 2x) = 3x + 18
-9x + 6x2 + (2x + 2x2) = 3x + 18

Reorder the terms:
-9x + 2x + 6x2 + 2x2 = 3x + 18

Combine like terms: -9x + 2x = -7x
-7x + 6x2 + 2x2 = 3x + 18

Combine like terms: 6x2 + 2x2 = 8x2
-7x + 8x2 = 3x + 18

Reorder the terms:
-7x + 8x2 = 18 + 3x

Solving
-7x + 8x2 = 18 + 3x

Solving for variable 'x'.

Reorder the terms:
-18 + -7x + -3x + 8x2 = 18 + 3x + -18 + -3x

Combine like terms: -7x + -3x = -10x
-18 + -10x + 8x2 = 18 + 3x + -18 + -3x

Reorder the terms:
-18 + -10x + 8x2 = 18 + -18 + 3x + -3x

Combine like terms: 18 + -18 = 0
-18 + -10x + 8x2 = 0 + 3x + -3x
-18 + -10x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -10x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -5x + 4x2) = 0

Factor a trinomial.
2((-1 + -1x)(9 + -4x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25

Solution

x = {-1, 2.25}

See similar equations:

| 8(y+1)=96 | | X^2-5x-1=9-2x | | 5y-4=2y+17 | | 7-(2x+9)=11x-5(1-x) | | logx=1.2 | | 8-6(-10)=4 | | 5x-9=54-8x | | -3t-8+7x=34+9t-2 | | X+4=3x+-6 | | 3(3p+7)=24 | | 11x-130=5x-10 | | 2(3x-1)-5x=5-(3x+11) | | 2f^2+44f-46=0 | | 27x^2+36x-96=0 | | 9x-144=42+15x | | 3-x=82 | | 36x^2+36x-96=0 | | x^2-15=20+2x | | 3y+y+y=20 | | 30-5t=12-8x | | 12x+2=130 | | (3-i)/(4-3i) | | 717=102-15f | | 18-22=6-4z | | -x-13=3x-9 | | 12(x+3)=6(x+15) | | Xcubed+8x=30 | | -145+3r=-835 | | 6(x-2)=4(x-3) | | Y=-x^2-2x-6 | | 2sin(2x)=sin(0) | | 0.57/.22=1.2/(x^2) |

Equations solver categories