(R+5)(2r-7)(3r+2)=

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Solution for (R+5)(2r-7)(3r+2)= equation: 


Simplifying
(R + 5)(2r + -7)(3r + 2) = 0

Reorder the terms:
(5 + R)(2r + -7)(3r + 2) = 0

Reorder the terms:
(5 + R)(-7 + 2r)(3r + 2) = 0

Reorder the terms:
(5 + R)(-7 + 2r)(2 + 3r) = 0

Multiply (5 + R) * (-7 + 2r)
(5(-7 + 2r) + R(-7 + 2r))(2 + 3r) = 0
((-7 * 5 + 2r * 5) + R(-7 + 2r))(2 + 3r) = 0
((-35 + 10r) + R(-7 + 2r))(2 + 3r) = 0
(-35 + 10r + (-7 * R + 2r * R))(2 + 3r) = 0
(-35 + 10r + (-7R + 2rR))(2 + 3r) = 0

Reorder the terms:
(-35 + -7R + 10r + 2rR)(2 + 3r) = 0
(-35 + -7R + 10r + 2rR)(2 + 3r) = 0

Multiply (-35 + -7R + 10r + 2rR) * (2 + 3r)
(-35(2 + 3r) + -7R * (2 + 3r) + 10r * (2 + 3r) + 2rR * (2 + 3r)) = 0
((2 * -35 + 3r * -35) + -7R * (2 + 3r) + 10r * (2 + 3r) + 2rR * (2 + 3r)) = 0
((-70 + -105r) + -7R * (2 + 3r) + 10r * (2 + 3r) + 2rR * (2 + 3r)) = 0
(-70 + -105r + (2 * -7R + 3r * -7R) + 10r * (2 + 3r) + 2rR * (2 + 3r)) = 0
(-70 + -105r + (-14R + -21rR) + 10r * (2 + 3r) + 2rR * (2 + 3r)) = 0
(-70 + -105r + -14R + -21rR + (2 * 10r + 3r * 10r) + 2rR * (2 + 3r)) = 0
(-70 + -105r + -14R + -21rR + (20r + 30r2) + 2rR * (2 + 3r)) = 0
(-70 + -105r + -14R + -21rR + 20r + 30r2 + (2 * 2rR + 3r * 2rR)) = 0
(-70 + -105r + -14R + -21rR + 20r + 30r2 + (4rR + 6r2R)) = 0

Reorder the terms:
(-70 + -14R + -105r + 20r + -21rR + 4rR + 30r2 + 6r2R) = 0

Combine like terms: -105r + 20r = -85r
(-70 + -14R + -85r + -21rR + 4rR + 30r2 + 6r2R) = 0

Combine like terms: -21rR + 4rR = -17rR
(-70 + -14R + -85r + -17rR + 30r2 + 6r2R) = 0

Solving
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 0

Solving for variable 'R'.

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

Add '70' to each side of the equation.
-70 + -14R + -85r + -17rR + 30r2 + 70 + 6r2R = 0 + 70

Reorder the terms:
-70 + 70 + -14R + -85r + -17rR + 30r2 + 6r2R = 0 + 70

Combine like terms: -70 + 70 = 0
0 + -14R + -85r + -17rR + 30r2 + 6r2R = 0 + 70
-14R + -85r + -17rR + 30r2 + 6r2R = 0 + 70

Combine like terms: 0 + 70 = 70
-14R + -85r + -17rR + 30r2 + 6r2R = 70

Add '85r' to each side of the equation.
-14R + -85r + -17rR + 30r2 + 85r + 6r2R = 70 + 85r

Reorder the terms:
-14R + -85r + 85r + -17rR + 30r2 + 6r2R = 70 + 85r

Combine like terms: -85r + 85r = 0
-14R + 0 + -17rR + 30r2 + 6r2R = 70 + 85r
-14R + -17rR + 30r2 + 6r2R = 70 + 85r

Add '-30r2' to each side of the equation.
-14R + -17rR + 30r2 + -30r2 + 6r2R = 70 + 85r + -30r2

Combine like terms: 30r2 + -30r2 = 0
-14R + -17rR + 0 + 6r2R = 70 + 85r + -30r2
-14R + -17rR + 6r2R = 70 + 85r + -30r2

Reorder the terms:
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 70 + 85r + -30r2 + -70 + -85r + 30r2

Reorder the terms:
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 70 + -70 + 85r + -85r + -30r2 + 30r2

Combine like terms: 70 + -70 = 0
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 0 + 85r + -85r + -30r2 + 30r2
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 85r + -85r + -30r2 + 30r2

Combine like terms: 85r + -85r = 0
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 0 + -30r2 + 30r2
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = -30r2 + 30r2

Combine like terms: -30r2 + 30r2 = 0
-70 + -14R + -85r + -17rR + 30r2 + 6r2R = 0

The solution to this equation could not be determined.

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