3x(x+2)=45

Simple and best practice solution for 3x(x+2)=45 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(x+2)=45 equation:


Simplifying
3x(x + 2) = 45

Reorder the terms:
3x(2 + x) = 45
(2 * 3x + x * 3x) = 45
(6x + 3x2) = 45

Solving
6x + 3x2 = 45

Solving for variable 'x'.

Reorder the terms:
-45 + 6x + 3x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + 6x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + 2x + x2) = 0

Factor a trinomial.
3((-5 + -1x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-5, 3}

See similar equations:

| 45=18-6(x-2) | | p(5)=-3x+6 | | p(-5)=-3x+6 | | 156-6x=30x+16 | | 8-8x=178-43x | | 10-8x=140-43x | | -33-8=178-43x | | x^2-x-7=0 | | x^2+6*X-7=0 | | 8-a=6-a | | C=P+3 | | 0.2y+0.7=0.1-0.4y | | 30=8-2x | | 3n+9+4n=2 | | -12-2x=12-8x | | x(x-4)=0 | | 10Y-5-5Y=6Y-6-20 | | M^2-16m-36=0 | | 5x+7=106-6x | | 30-4x=4x | | 4x+24=10x-101 | | 8-9x=-4x-12 | | 5x-3x+8=4+4+-6 | | -28-9x=8x+23 | | 7=2x-4(x-8) | | 9x-11=6x+1 | | -3-x+3x=19 | | x-(-3)=x+3 | | 42a^2*(6y-8x)+(8x+6y)*b^1*xy= | | 5x+9=-121-8x | | 8(3+x)=7(x+3) | | 5x-11=39 |

Equations solver categories