180x=180(x-2)+15x(x-2)

Simple and best practice solution for 180x=180(x-2)+15x(x-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 180x=180(x-2)+15x(x-2) equation: 


Simplifying
180x = 180(x + -2) + 15x(x + -2)

Reorder the terms:
180x = 180(-2 + x) + 15x(x + -2)
180x = (-2 * 180 + x * 180) + 15x(x + -2)
180x = (-360 + 180x) + 15x(x + -2)

Reorder the terms:
180x = -360 + 180x + 15x(-2 + x)
180x = -360 + 180x + (-2 * 15x + x * 15x)
180x = -360 + 180x + (-30x + 15x2)

Combine like terms: 180x + -30x = 150x
180x = -360 + 150x + 15x2

Solving
180x = -360 + 150x + 15x2

Solving for variable 'x'.

Reorder the terms:
360 + 180x + -150x + -15x2 = -360 + 150x + 15x2 + 360 + -150x + -15x2

Combine like terms: 180x + -150x = 30x
360 + 30x + -15x2 = -360 + 150x + 15x2 + 360 + -150x + -15x2

Reorder the terms:
360 + 30x + -15x2 = -360 + 360 + 150x + -150x + 15x2 + -15x2

Combine like terms: -360 + 360 = 0
360 + 30x + -15x2 = 0 + 150x + -150x + 15x2 + -15x2
360 + 30x + -15x2 = 150x + -150x + 15x2 + -15x2

Combine like terms: 150x + -150x = 0
360 + 30x + -15x2 = 0 + 15x2 + -15x2
360 + 30x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
360 + 30x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(24 + 2x + -1x2) = 0

Factor a trinomial.
15((6 + -1x)(4 + x)) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {6, -4}

See similar equations:

| -6v^2-17v-12=0 | | 2(x+2y)=12 | | (2x-5)-(x-6)=80 | | 7y+x=94 | | 5q-6(q-5)+5(p-5)=0 | | X+(9-2x)=17 | | 2(2x-3)-(x+4)=3(x-2)+1 | | (15-z)=20z | | 7=v^2-2*8*2 | | 2x+3+x-6=180 | | (x-20)=x | | q^2-2q-3=0 | | 5(x-2)-3(2-x)=5(x-2)+1 | | p(x)=82x-.10x^2-1600 | | v=1/3(3.14)(10)(15) | | x=2(1) | | P(x)=-0.002+4.5x-1500 | | y^2+23y+22=0 | | X+4x+10=0 | | 33n^2+35n=0 | | g^2+10g+16=0 | | .25x^2-3x+8=0 | | X-7x+3=0 | | 2=4(x-5)+2-3x | | g^2+37g=0 | | 25x-20x+2=0 | | 2w-5=7 | | 12a-4(5a*-1)=2(3a+6)-4a | | 4x-12x+7=0 | | 18x-30x-1=0 | | x^2-2(k-1)x+k^2=0 | | 4-(2x-1)-2(2x-1)=x+4 |

Equations solver categories