10r^3=160r

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Solution for 10r^3=160r equation:


Simplifying
10r3 = 160r

Solving
10r3 = 160r

Solving for variable 'r'.

Reorder the terms:
-160r + 10r3 = 160r + -160r

Combine like terms: 160r + -160r = 0
-160r + 10r3 = 0

Factor out the Greatest Common Factor (GCF), '10r'.
10r(-16 + r2) = 0

Factor a difference between two squares.
10r((4 + r)(-4 + r)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4

Subproblem 3

Set the factor '(-4 + r)' equal to zero and attempt to solve: Simplifying -4 + r = 0 Solving -4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + r = 0 + 4 r = 0 + 4 Combine like terms: 0 + 4 = 4 r = 4 Simplifying r = 4

Solution

r = {0, -4, 4}

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