(5r-6)(2r+3)(r+5)=x

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Solution for (5r-6)(2r+3)(r+5)=x equation:


Simplifying
(5r + -6)(2r + 3)(r + 5) = x

Reorder the terms:
(-6 + 5r)(2r + 3)(r + 5) = x

Reorder the terms:
(-6 + 5r)(3 + 2r)(r + 5) = x

Reorder the terms:
(-6 + 5r)(3 + 2r)(5 + r) = x

Multiply (-6 + 5r) * (3 + 2r)
(-6(3 + 2r) + 5r * (3 + 2r))(5 + r) = x
((3 * -6 + 2r * -6) + 5r * (3 + 2r))(5 + r) = x
((-18 + -12r) + 5r * (3 + 2r))(5 + r) = x
(-18 + -12r + (3 * 5r + 2r * 5r))(5 + r) = x
(-18 + -12r + (15r + 10r2))(5 + r) = x

Combine like terms: -12r + 15r = 3r
(-18 + 3r + 10r2)(5 + r) = x

Multiply (-18 + 3r + 10r2) * (5 + r)
(-18(5 + r) + 3r * (5 + r) + 10r2 * (5 + r)) = x
((5 * -18 + r * -18) + 3r * (5 + r) + 10r2 * (5 + r)) = x
((-90 + -18r) + 3r * (5 + r) + 10r2 * (5 + r)) = x
(-90 + -18r + (5 * 3r + r * 3r) + 10r2 * (5 + r)) = x
(-90 + -18r + (15r + 3r2) + 10r2 * (5 + r)) = x
(-90 + -18r + 15r + 3r2 + (5 * 10r2 + r * 10r2)) = x
(-90 + -18r + 15r + 3r2 + (50r2 + 10r3)) = x

Combine like terms: -18r + 15r = -3r
(-90 + -3r + 3r2 + 50r2 + 10r3) = x

Combine like terms: 3r2 + 50r2 = 53r2
(-90 + -3r + 53r2 + 10r3) = x

Solving
-90 + -3r + 53r2 + 10r3 = x

Solving for variable 'r'.

Combine like terms: x + -1x = 0
-90 + -3r + 53r2 + 10r3 + -1x = 0

The solution to this equation could not be determined.

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