(x+3)(x+4)(x+5)(x+7)=-16

Simple and best practice solution for (x+3)(x+4)(x+5)(x+7)=-16 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+3)(x+4)(x+5)(x+7)=-16 equation: 


Simplifying
(x + 3)(x + 4)(x + 5)(x + 7) = -16

Reorder the terms:
(3 + x)(x + 4)(x + 5)(x + 7) = -16

Reorder the terms:
(3 + x)(4 + x)(x + 5)(x + 7) = -16

Reorder the terms:
(3 + x)(4 + x)(5 + x)(x + 7) = -16

Reorder the terms:
(3 + x)(4 + x)(5 + x)(7 + x) = -16

Multiply (3 + x) * (4 + x)
(3(4 + x) + x(4 + x))(5 + x)(7 + x) = -16
((4 * 3 + x * 3) + x(4 + x))(5 + x)(7 + x) = -16
((12 + 3x) + x(4 + x))(5 + x)(7 + x) = -16
(12 + 3x + (4 * x + x * x))(5 + x)(7 + x) = -16
(12 + 3x + (4x + x2))(5 + x)(7 + x) = -16

Combine like terms: 3x + 4x = 7x
(12 + 7x + x2)(5 + x)(7 + x) = -16

Multiply (12 + 7x + x2) * (5 + x)
(12(5 + x) + 7x * (5 + x) + x2(5 + x))(7 + x) = -16
((5 * 12 + x * 12) + 7x * (5 + x) + x2(5 + x))(7 + x) = -16
((60 + 12x) + 7x * (5 + x) + x2(5 + x))(7 + x) = -16
(60 + 12x + (5 * 7x + x * 7x) + x2(5 + x))(7 + x) = -16
(60 + 12x + (35x + 7x2) + x2(5 + x))(7 + x) = -16
(60 + 12x + 35x + 7x2 + (5 * x2 + x * x2))(7 + x) = -16
(60 + 12x + 35x + 7x2 + (5x2 + x3))(7 + x) = -16

Combine like terms: 12x + 35x = 47x
(60 + 47x + 7x2 + 5x2 + x3)(7 + x) = -16

Combine like terms: 7x2 + 5x2 = 12x2
(60 + 47x + 12x2 + x3)(7 + x) = -16

Multiply (60 + 47x + 12x2 + x3) * (7 + x)
(60(7 + x) + 47x * (7 + x) + 12x2 * (7 + x) + x3(7 + x)) = -16
((7 * 60 + x * 60) + 47x * (7 + x) + 12x2 * (7 + x) + x3(7 + x)) = -16
((420 + 60x) + 47x * (7 + x) + 12x2 * (7 + x) + x3(7 + x)) = -16
(420 + 60x + (7 * 47x + x * 47x) + 12x2 * (7 + x) + x3(7 + x)) = -16
(420 + 60x + (329x + 47x2) + 12x2 * (7 + x) + x3(7 + x)) = -16
(420 + 60x + 329x + 47x2 + (7 * 12x2 + x * 12x2) + x3(7 + x)) = -16
(420 + 60x + 329x + 47x2 + (84x2 + 12x3) + x3(7 + x)) = -16
(420 + 60x + 329x + 47x2 + 84x2 + 12x3 + (7 * x3 + x * x3)) = -16
(420 + 60x + 329x + 47x2 + 84x2 + 12x3 + (7x3 + x4)) = -16

Combine like terms: 60x + 329x = 389x
(420 + 389x + 47x2 + 84x2 + 12x3 + 7x3 + x4) = -16

Combine like terms: 47x2 + 84x2 = 131x2
(420 + 389x + 131x2 + 12x3 + 7x3 + x4) = -16

Combine like terms: 12x3 + 7x3 = 19x3
(420 + 389x + 131x2 + 19x3 + x4) = -16

Solving
420 + 389x + 131x2 + 19x3 + x4 = -16

Solving for variable 'x'.

Reorder the terms:
420 + 16 + 389x + 131x2 + 19x3 + x4 = -16 + 16

Combine like terms: 420 + 16 = 436
436 + 389x + 131x2 + 19x3 + x4 = -16 + 16

Combine like terms: -16 + 16 = 0
436 + 389x + 131x2 + 19x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| 6x^2-23x-28=0 | | 10x^2-123x+36=0 | | x(2x+1)(3x+1)=0 | | 10x-3x=11+10 | | 1.333x=2x+4 | | 9p^2+24p-20=0 | | 9k^2-46k-48=0 | | 8-2b=4 | | 5x^2(x-3)(x-5)=0 | | x^2-8x-29=x^2+a^2+2ax+b | | x^2-8x-29=x^2+a^2+b | | 1-4-8p-p=6-7p+3 | | 3x+5=6-4x | | 4(5p-4)=5(5p-2) | | 0+11.2=-11.2 | | 9x^2+x-5=0 | | 5x-(3x+6)=70 | | 0.625(x-2)=10 | | 3x+1+2x-3=22 | | 4*(x+1)=9 | | 2a+3b=ab | | (x^4)-6(x^2)+1=0 | | 12.50x+8.00y=5086.00 | | 4(3-j)-3(6-j)= | | -2(b-4)+7b-8= | | -5-(7-4r)= | | 3(g-7)+10= | | 8d-4-11d= | | 3(5i+2)-2=26 | | 6c-3-7c-2= | | -7+30+2k= | | 3z+4z-8+6= |

Equations solver categories