n-34=32+16n+7n(4n+-2)

Simple and best practice solution for n-34=32+16n+7n(4n+-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 n-34=32+16n+7n(4n+-2) equation:


Simplifying
n + -34 = 32 + 16n + 7n(4n + -2)

Reorder the terms:
-34 + n = 32 + 16n + 7n(4n + -2)

Reorder the terms:
-34 + n = 32 + 16n + 7n(-2 + 4n)
-34 + n = 32 + 16n + (-2 * 7n + 4n * 7n)
-34 + n = 32 + 16n + (-14n + 28n2)

Combine like terms: 16n + -14n = 2n
-34 + n = 32 + 2n + 28n2

Solving
-34 + n = 32 + 2n + 28n2

Solving for variable 'n'.

Reorder the terms:
-34 + -32 + n + -2n + -28n2 = 32 + 2n + 28n2 + -32 + -2n + -28n2

Combine like terms: -34 + -32 = -66
-66 + n + -2n + -28n2 = 32 + 2n + 28n2 + -32 + -2n + -28n2

Combine like terms: n + -2n = -1n
-66 + -1n + -28n2 = 32 + 2n + 28n2 + -32 + -2n + -28n2

Reorder the terms:
-66 + -1n + -28n2 = 32 + -32 + 2n + -2n + 28n2 + -28n2

Combine like terms: 32 + -32 = 0
-66 + -1n + -28n2 = 0 + 2n + -2n + 28n2 + -28n2
-66 + -1n + -28n2 = 2n + -2n + 28n2 + -28n2

Combine like terms: 2n + -2n = 0
-66 + -1n + -28n2 = 0 + 28n2 + -28n2
-66 + -1n + -28n2 = 28n2 + -28n2

Combine like terms: 28n2 + -28n2 = 0
-66 + -1n + -28n2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(66 + n + 28n2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(66 + n + 28n2)' equal to zero and attempt to solve: Simplifying 66 + n + 28n2 = 0 Solving 66 + n + 28n2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 2.357142857 + 0.03571428571n + n2 = 0 Move the constant term to the right: Add '-2.357142857' to each side of the equation. 2.357142857 + 0.03571428571n + -2.357142857 + n2 = 0 + -2.357142857 Reorder the terms: 2.357142857 + -2.357142857 + 0.03571428571n + n2 = 0 + -2.357142857 Combine like terms: 2.357142857 + -2.357142857 = 0.000000000 0.000000000 + 0.03571428571n + n2 = 0 + -2.357142857 0.03571428571n + n2 = 0 + -2.357142857 Combine like terms: 0 + -2.357142857 = -2.357142857 0.03571428571n + n2 = -2.357142857 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.03571428571n + 0.25 + n2 = -2.357142857 + 0.25 Reorder the terms: 0.25 + 0.03571428571n + n2 = -2.357142857 + 0.25 Combine like terms: -2.357142857 + 0.25 = -2.107142857 0.25 + 0.03571428571n + n2 = -2.107142857 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -2.107142857 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 15x+15=5(2x+4)+5x-5 | | -8y^3+12y^2-6= | | 4e-4=14.4 | | 2x-3=2y | | 2a(3a+4)(3a+4)= | | -4(p-4)-7p=16-4p | | 6p=7.8 | | =-7(k-8)+2k | | -93+w=-10 | | 16t^2-56t-40=0 | | 4x+(x+35)=180 | | 3-(x-9)=14 | | 16x+18=0 | | 4x+8=7x-5 | | logx=.5 | | 0.4(0.3x-1)=2+0.7x | | -5(3t-5)+9t=8t-6 | | X^2-4x+56=0 | | 4x+8=8x-5 | | 11x+5(8x+7)= | | 39=8c-9 | | 5x+26=7x+28 | | 3(2x-6)=20 | | 7g+g-3g=-24 | | 5y-1+y+21=7y+20-4y | | 3x+10=6x-5 | | 4x^3-120x^2+875x=0 | | 0=5x^2-5 | | 9+5x=45+2x | | -5x+2-1x+15=0 | | 3x+10=6n-5 | | 4x+3(4)-x=3(x-2) |

Equations solver categories