(7r^2-6r-6)(2r-4)(r^2+3)=0

Simple and best practice solution for (7r^2-6r-6)(2r-4)(r^2+3)=0 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 (7r^2-6r-6)(2r-4)(r^2+3)=0 equation: 


Simplifying
(7r2 + -6r + -6)(2r + -4)(r2 + 3) = 0

Reorder the terms:
(-6 + -6r + 7r2)(2r + -4)(r2 + 3) = 0

Reorder the terms:
(-6 + -6r + 7r2)(-4 + 2r)(r2 + 3) = 0

Reorder the terms:
(-6 + -6r + 7r2)(-4 + 2r)(3 + r2) = 0

Multiply (-6 + -6r + 7r2) * (-4 + 2r)
(-6(-4 + 2r) + -6r * (-4 + 2r) + 7r2 * (-4 + 2r))(3 + r2) = 0
((-4 * -6 + 2r * -6) + -6r * (-4 + 2r) + 7r2 * (-4 + 2r))(3 + r2) = 0
((24 + -12r) + -6r * (-4 + 2r) + 7r2 * (-4 + 2r))(3 + r2) = 0
(24 + -12r + (-4 * -6r + 2r * -6r) + 7r2 * (-4 + 2r))(3 + r2) = 0
(24 + -12r + (24r + -12r2) + 7r2 * (-4 + 2r))(3 + r2) = 0
(24 + -12r + 24r + -12r2 + (-4 * 7r2 + 2r * 7r2))(3 + r2) = 0
(24 + -12r + 24r + -12r2 + (-28r2 + 14r3))(3 + r2) = 0

Combine like terms: -12r + 24r = 12r
(24 + 12r + -12r2 + -28r2 + 14r3)(3 + r2) = 0

Combine like terms: -12r2 + -28r2 = -40r2
(24 + 12r + -40r2 + 14r3)(3 + r2) = 0

Multiply (24 + 12r + -40r2 + 14r3) * (3 + r2)
(24(3 + r2) + 12r * (3 + r2) + -40r2 * (3 + r2) + 14r3 * (3 + r2)) = 0
((3 * 24 + r2 * 24) + 12r * (3 + r2) + -40r2 * (3 + r2) + 14r3 * (3 + r2)) = 0
((72 + 24r2) + 12r * (3 + r2) + -40r2 * (3 + r2) + 14r3 * (3 + r2)) = 0
(72 + 24r2 + (3 * 12r + r2 * 12r) + -40r2 * (3 + r2) + 14r3 * (3 + r2)) = 0
(72 + 24r2 + (36r + 12r3) + -40r2 * (3 + r2) + 14r3 * (3 + r2)) = 0
(72 + 24r2 + 36r + 12r3 + (3 * -40r2 + r2 * -40r2) + 14r3 * (3 + r2)) = 0
(72 + 24r2 + 36r + 12r3 + (-120r2 + -40r4) + 14r3 * (3 + r2)) = 0
(72 + 24r2 + 36r + 12r3 + -120r2 + -40r4 + (3 * 14r3 + r2 * 14r3)) = 0
(72 + 24r2 + 36r + 12r3 + -120r2 + -40r4 + (42r3 + 14r5)) = 0

Reorder the terms:
(72 + 36r + 24r2 + -120r2 + 12r3 + 42r3 + -40r4 + 14r5) = 0

Combine like terms: 24r2 + -120r2 = -96r2
(72 + 36r + -96r2 + 12r3 + 42r3 + -40r4 + 14r5) = 0

Combine like terms: 12r3 + 42r3 = 54r3
(72 + 36r + -96r2 + 54r3 + -40r4 + 14r5) = 0

Solving
72 + 36r + -96r2 + 54r3 + -40r4 + 14r5 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + 18r + -48r2 + 27r3 + -20r4 + 7r5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(36 + 18r + -48r2 + 27r3 + -20r4 + 7r5)' equal to zero and attempt to solve:

Simplifying
36 + 18r + -48r2 + 27r3 + -20r4 + 7r5 = 0

Solving
36 + 18r + -48r2 + 27r3 + -20r4 + 7r5 = 0

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:

| 0=14-m+4m-10 | | 58=5p+13 | | 3x+1=20x | | 32=-4(x-7) | | 71=8x-(-15) | | 4(x-2)=4x+19 | | 7y+y-4y-7=5y | | 40=2m+12 | | -5x-20=2x-50 | | -1.4x=-0.266 | | 34/1/3 | | 3(x+2)=x+6+5x | | k/-8=2 | | 1/30X2/5 | | x^2-kx+9=6x | | 3(x^2-2)=-18 | | 5v+4=6v-5 | | Y-30=-5.75(x-0) | | (2x-27)=85 | | (2x-33)=79 | | 8k-k=17 | | .25r-0.25+0.25r=0.5-0.25r | | 11ab+ab-11ab= | | 2x+1=3(x+7) | | 34x1/3 | | 3y+1=5y-4 | | 10z+10=12z+6 | | 2=18/4d | | 7(6a-8f)= | | 10y^2-4=45 | | 4a-6=a-15 | | 3x+1+2=6x |

Equations solver categories