(x+2)(x+3)(x+7)=180

Simple and best practice solution for (x+2)(x+3)(x+7)=180 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 (x+2)(x+3)(x+7)=180 equation:


Simplifying
(x + 2)(x + 3)(x + 7) = 180

Reorder the terms:
(2 + x)(x + 3)(x + 7) = 180

Reorder the terms:
(2 + x)(3 + x)(x + 7) = 180

Reorder the terms:
(2 + x)(3 + x)(7 + x) = 180

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(7 + x) = 180
((3 * 2 + x * 2) + x(3 + x))(7 + x) = 180
((6 + 2x) + x(3 + x))(7 + x) = 180
(6 + 2x + (3 * x + x * x))(7 + x) = 180
(6 + 2x + (3x + x2))(7 + x) = 180

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(7 + x) = 180

Multiply (6 + 5x + x2) * (7 + x)
(6(7 + x) + 5x * (7 + x) + x2(7 + x)) = 180
((7 * 6 + x * 6) + 5x * (7 + x) + x2(7 + x)) = 180
((42 + 6x) + 5x * (7 + x) + x2(7 + x)) = 180
(42 + 6x + (7 * 5x + x * 5x) + x2(7 + x)) = 180
(42 + 6x + (35x + 5x2) + x2(7 + x)) = 180
(42 + 6x + 35x + 5x2 + (7 * x2 + x * x2)) = 180
(42 + 6x + 35x + 5x2 + (7x2 + x3)) = 180

Combine like terms: 6x + 35x = 41x
(42 + 41x + 5x2 + 7x2 + x3) = 180

Combine like terms: 5x2 + 7x2 = 12x2
(42 + 41x + 12x2 + x3) = 180

Solving
42 + 41x + 12x2 + x3 = 180

Solving for variable 'x'.

Reorder the terms:
42 + -180 + 41x + 12x2 + x3 = 180 + -180

Combine like terms: 42 + -180 = -138
-138 + 41x + 12x2 + x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-138 + 41x + 12x2 + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 9x^2+4x-13=0 | | -13=5v-3 | | -12f+3f=3 | | y=x^2-abs(8x+3) | | 22d=d+0.25 | | 2+3w=17 | | 4z+5=41.8 | | 17x^2-7=29 | | 9x+6y=12 | | 20x+5.34=5.39 | | 2n^2+5n=0(n^2) | | -3x-6(-3x+13)=-18 | | -3b+0.5=0.5 | | 3y=111 | | 5p^2=2+9p | | 3(8+x)=10x-0.2 | | 7.5n=n+4 | | 40b+42=300 | | 17+4x=31 | | -12c=-4(-c+3) | | 10/(5y-3)-2 | | 4x-7=2(8x-11) | | 5=(4x+17)-8(2-2x) | | .7x=881 | | -2c=-4(-c+3) | | 10x-1=6x+5 | | -10(-10v+1300)=-800 | | 18=7-(3z+2z) | | 18=(3z+2z)-7 | | -6(m+20)=3 | | 15=35-14x | | 9x-(3x-1)=3 |

Equations solver categories