180=(x+2)(5x+35)

Simple and best practice solution for 180=(x+2)(5x+35) 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 180=(x+2)(5x+35) equation: 


Simplifying
180 = (x + 2)(5x + 35)

Reorder the terms:
180 = (2 + x)(5x + 35)

Reorder the terms:
180 = (2 + x)(35 + 5x)

Multiply (2 + x) * (35 + 5x)
180 = (2(35 + 5x) + x(35 + 5x))
180 = ((35 * 2 + 5x * 2) + x(35 + 5x))
180 = ((70 + 10x) + x(35 + 5x))
180 = (70 + 10x + (35 * x + 5x * x))
180 = (70 + 10x + (35x + 5x2))

Combine like terms: 10x + 35x = 45x
180 = (70 + 45x + 5x2)

Solving
180 = 70 + 45x + 5x2

Solving for variable 'x'.

Combine like terms: 180 + -70 = 110
110 + -45x + -5x2 = 70 + 45x + 5x2 + -70 + -45x + -5x2

Reorder the terms:
110 + -45x + -5x2 = 70 + -70 + 45x + -45x + 5x2 + -5x2

Combine like terms: 70 + -70 = 0
110 + -45x + -5x2 = 0 + 45x + -45x + 5x2 + -5x2
110 + -45x + -5x2 = 45x + -45x + 5x2 + -5x2

Combine like terms: 45x + -45x = 0
110 + -45x + -5x2 = 0 + 5x2 + -5x2
110 + -45x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
110 + -45x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(22 + -9x + -1x2) = 0

Factor a trinomial.
5((2 + -1x)(11 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {2, -11}

See similar equations:

| (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3)= | | X+(X*.08)=40.75 | | X+(X*.1)=41.24 | | -3.2y+2.38=3.7 | | 4.7=-8.3-d | | .4x-0.7=.3x+7 | | (3x^2-5x)*(2x^3+4x^2-x+2)= | | Y^2-20y+100=y-8 | | 5x^3-26x^2+25=0 | | x*x*x-2x=21 | | Y^2-20y+108=0 | | 4r+20=-5r+34 | | 18x-24-10x-2=6x+12 | | x=-0.1x+75 | | 0=-16x^2+160x | | 2(r-7)-2(r-3)=9(r-2) | | 1/4*n=2/9*3/5 | | f(x)=x^3-x^2-3x+30000 | | 4e^3x=60 | | 15+3X-11=10-16-5x | | x^3-x^2-3x+30000=0 | | 3(12-3y^2)= | | -30+5x=6x+.2 | | 2x-5y+7x-3y= | | 6y^2+1=5y | | (x^4-2x^2+2)*(x^2-2x+3)= | | 2Xsquared+7Xsquared-10=5 | | 6x-5x+8=11 | | (z-2y+2)*(y-2x+3)= | | 2-20=-8 | | 13-2x=27 | | (2x+y-2z)(2x-y+2z)= |

Equations solver categories