4r*4r+36r+81=r(r+9)(r+9)

Simple and best practice solution for 4r*4r+36r+81=r(r+9)(r+9) 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 4r*4r+36r+81=r(r+9)(r+9) equation:


Simplifying
4r * 4r + 36r + 81 = r(r + 9)(r + 9)

Reorder the terms for easier multiplication:
4 * 4r * r + 36r + 81 = r(r + 9)(r + 9)

Multiply 4 * 4
16r * r + 36r + 81 = r(r + 9)(r + 9)

Multiply r * r
16r2 + 36r + 81 = r(r + 9)(r + 9)

Reorder the terms:
81 + 36r + 16r2 = r(r + 9)(r + 9)

Reorder the terms:
81 + 36r + 16r2 = r(9 + r)(r + 9)

Reorder the terms:
81 + 36r + 16r2 = r(9 + r)(9 + r)

Multiply (9 + r) * (9 + r)
81 + 36r + 16r2 = r(9(9 + r) + r(9 + r))
81 + 36r + 16r2 = r((9 * 9 + r * 9) + r(9 + r))
81 + 36r + 16r2 = r((81 + 9r) + r(9 + r))
81 + 36r + 16r2 = r(81 + 9r + (9 * r + r * r))
81 + 36r + 16r2 = r(81 + 9r + (9r + r2))

Combine like terms: 9r + 9r = 18r
81 + 36r + 16r2 = r(81 + 18r + r2)
81 + 36r + 16r2 = (81 * r + 18r * r + r2 * r)
81 + 36r + 16r2 = (81r + 18r2 + r3)

Solving
81 + 36r + 16r2 = 81r + 18r2 + r3

Solving for variable 'r'.

Reorder the terms:
81 + 36r + -81r + 16r2 + -18r2 + -1r3 = 81r + 18r2 + r3 + -81r + -18r2 + -1r3

Combine like terms: 36r + -81r = -45r
81 + -45r + 16r2 + -18r2 + -1r3 = 81r + 18r2 + r3 + -81r + -18r2 + -1r3

Combine like terms: 16r2 + -18r2 = -2r2
81 + -45r + -2r2 + -1r3 = 81r + 18r2 + r3 + -81r + -18r2 + -1r3

Reorder the terms:
81 + -45r + -2r2 + -1r3 = 81r + -81r + 18r2 + -18r2 + r3 + -1r3

Combine like terms: 81r + -81r = 0
81 + -45r + -2r2 + -1r3 = 0 + 18r2 + -18r2 + r3 + -1r3
81 + -45r + -2r2 + -1r3 = 18r2 + -18r2 + r3 + -1r3

Combine like terms: 18r2 + -18r2 = 0
81 + -45r + -2r2 + -1r3 = 0 + r3 + -1r3
81 + -45r + -2r2 + -1r3 = r3 + -1r3

Combine like terms: r3 + -1r3 = 0
81 + -45r + -2r2 + -1r3 = 0

The solution to this equation could not be determined.

See similar equations:

| (5y/(y^2-3y))-(7/(3-y)) | | -8(7n+3)=-24 | | 8=x/1+8 | | 4r*4r+36r+81=r | | 7(t+11)=9(t-13) | | 10/11x=-9 | | f(x)=-2x^2-x+3 | | 2+v/4=7 | | 5/11x=3 | | 9/10x=-2 | | q*22=-44 | | -(5a+6)-4=-5 | | 4X^2-4x+37=0 | | 8n-4=6n | | (2x-12)-(x-4)=3 | | -4(5b+1)=-64 | | 28672-65=X | | 7x+9+5x+27=180 | | 2x^4-3x-8=0 | | 12ab+15ab=3ab(4+5) | | 8x+3-7x-4=6x-5x-4 | | -51z=21 | | 483/60 | | 9x-1=90 | | 6x+10+2x-8=180 | | y=35-(-4) | | -35=-5(2p-1) | | 65x+3x+56x=76 | | 40n+50n=10(4+5) | | -6(-4x+1)+7x+9(x-3)=4 | | 1/4y+9 | | 5t^2+10=0 |

Equations solver categories