240=(x+5)(3x+9)

Simple and best practice solution for 240=(x+5)(3x+9) 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 240=(x+5)(3x+9) equation: 


Simplifying
240 = (x + 5)(3x + 9)

Reorder the terms:
240 = (5 + x)(3x + 9)

Reorder the terms:
240 = (5 + x)(9 + 3x)

Multiply (5 + x) * (9 + 3x)
240 = (5(9 + 3x) + x(9 + 3x))
240 = ((9 * 5 + 3x * 5) + x(9 + 3x))
240 = ((45 + 15x) + x(9 + 3x))
240 = (45 + 15x + (9 * x + 3x * x))
240 = (45 + 15x + (9x + 3x2))

Combine like terms: 15x + 9x = 24x
240 = (45 + 24x + 3x2)

Solving
240 = 45 + 24x + 3x2

Solving for variable 'x'.

Combine like terms: 240 + -45 = 195
195 + -24x + -3x2 = 45 + 24x + 3x2 + -45 + -24x + -3x2

Reorder the terms:
195 + -24x + -3x2 = 45 + -45 + 24x + -24x + 3x2 + -3x2

Combine like terms: 45 + -45 = 0
195 + -24x + -3x2 = 0 + 24x + -24x + 3x2 + -3x2
195 + -24x + -3x2 = 24x + -24x + 3x2 + -3x2

Combine like terms: 24x + -24x = 0
195 + -24x + -3x2 = 0 + 3x2 + -3x2
195 + -24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
195 + -24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(65 + -8x + -1x2) = 0

Factor a trinomial.
3((5 + -1x)(13 + x)) = 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 '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {5, -13}

See similar equations:

| 2x^2+40x-600=0 | | B+0,5= | | 1n+2(1n-1)+3n=28 | | ln(x)-ln(3)=19 | | 6m+16n= | | x^3+4x-9x^2+120=0 | | 3k-10=k+2 | | 6r-1+6r+3=17 | | z^3+3iz-i-3=0 | | -10y=12 | | -1-5/7-(-2)=-6/9 | | ln(x)+ln(3)=19 | | (X+2)(X+3)=30 | | L^2+6L-160=0 | | 3x+5=8x-13 | | 3y-5x=43 | | abs(z+4)=3*abs(z-4) | | 16+9t=22 | | 2x-8+3x+21=3 | | 16a-9a+uf= | | 50y+3y=513 | | 3x+20+2x+40=180 | | 24-10n=18 | | (3x-1)+(2x+4)= | | 12x-6=14x+35 | | 6t-2=5t+134 | | -2(4y+15)+8y=5 | | c+c+2c+5+4= | | 2(-2)-y=1 | | 5x-3(2x-1)=5 | | -43-14y+13=-32y+14+7y | | 7y+1=9+3 |

Equations solver categories