-9r^3(7r^2+6)(7r^2-6)=0

Simple and best practice solution for -9r^3(7r^2+6)(7r^2-6)=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 -9r^3(7r^2+6)(7r^2-6)=0 equation: 


Simplifying
-9r3(7r2 + 6)(7r2 + -6) = 0

Reorder the terms:
-9r3(6 + 7r2)(7r2 + -6) = 0

Reorder the terms:
-9r3(6 + 7r2)(-6 + 7r2) = 0

Multiply (6 + 7r2) * (-6 + 7r2)
-9r3(6(-6 + 7r2) + 7r2 * (-6 + 7r2)) = 0
-9r3((-6 * 6 + 7r2 * 6) + 7r2 * (-6 + 7r2)) = 0
-9r3((-36 + 42r2) + 7r2 * (-6 + 7r2)) = 0
-9r3(-36 + 42r2 + (-6 * 7r2 + 7r2 * 7r2)) = 0
-9r3(-36 + 42r2 + (-42r2 + 49r4)) = 0

Combine like terms: 42r2 + -42r2 = 0
-9r3(-36 + 0 + 49r4) = 0
-9r3(-36 + 49r4) = 0
(-36 * -9r3 + 49r4 * -9r3) = 0
(324r3 + -441r7) = 0

Solving
324r3 + -441r7 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '9r3'.
9r3(36 + -49r4) = 0

Factor a difference between two squares.
9r3((6 + 7r2)(6 + -7r2)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'r3' equal to zero and attempt to solve:

Simplifying
r3 = 0

Solving
r3 = 0

Move all terms containing r to the left, all other terms to the right.

Simplifying
r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(6 + 7r2)' equal to zero and attempt to solve:

Simplifying
6 + 7r2 = 0

Solving
6 + 7r2 = 0

Move all terms containing r to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 7r2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7r2 = 0 + -6
7r2 = 0 + -6

Combine like terms: 0 + -6 = -6
7r2 = -6

Divide each side by '7'.
r2 = -0.8571428571

Simplifying
r2 = -0.8571428571

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(6 + -7r2)' equal to zero and attempt to solve:

Simplifying
6 + -7r2 = 0

Solving
6 + -7r2 = 0

Move all terms containing r to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -7r2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7r2 = 0 + -6
-7r2 = 0 + -6

Combine like terms: 0 + -6 = -6
-7r2 = -6

Divide each side by '-7'.
r2 = 0.8571428571

Simplifying
r2 = 0.8571428571

Take the square root of each side:
r = {-0.9258201, 0.9258201}
Solution
r = {-0.9258201, 0.9258201}

See similar equations:

| 32w+8= | | x^2=-4x-20 | | -14x-14=2x+7 | | 4x^2+20x+19=6 | | 4y^4(2y+1)(y-6)=0 | | 3v^2+20+32=0 | | x^2+5=42 | | (3a-3d)(3a+2d)=0 | | 9+x=-125 | | 7x-28-30=33 | | 49x^2-3=06 | | 3+x=-150 | | 39x^2=36 | | 5+x=230 | | (3z-u)(3z+2u)=0 | | 4(X-20)=2X+10 | | .25p+.2(10-p)=0 | | (6-u)(4+2u)=0 | | 2+x=-34 | | -93=-3+-15x | | (9x+2)(9x+2)=0 | | 0.2(1.5z-5)=4(4z+1) | | x(445-4x)=10000 | | 10n-0.375=.1n-.375 | | -30x-6=-66 | | 2x-28=-7(4+5x)+2x | | -2(x-7)=12 | | 5(y-8)-7y(y-8)=0 | | 18x^2=-3x | | 9=0.6 | | 0=2(6+5n)+-1(8n+8) | | 3x+5(-9-3x)=15 |

Equations solver categories