28r^3=63r

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Solution for 28r^3=63r equation:


Simplifying
28r3 = 63r

Solving
28r3 = 63r

Solving for variable 'r'.

Reorder the terms:
-63r + 28r3 = 63r + -63r

Combine like terms: 63r + -63r = 0
-63r + 28r3 = 0

Factor out the Greatest Common Factor (GCF), '7r'.
7r(-9 + 4r2) = 0

Factor a difference between two squares.
7r((3 + 2r)(-3 + 2r)) = 0

Ignore the factor 7.

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 '(3 + 2r)' equal to zero and attempt to solve: Simplifying 3 + 2r = 0 Solving 3 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 0 + -3 2r = 0 + -3 Combine like terms: 0 + -3 = -3 2r = -3 Divide each side by '2'. r = -1.5 Simplifying r = -1.5

Subproblem 3

Set the factor '(-3 + 2r)' equal to zero and attempt to solve: Simplifying -3 + 2r = 0 Solving -3 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 0 + 3 2r = 0 + 3 Combine like terms: 0 + 3 = 3 2r = 3 Divide each side by '2'. r = 1.5 Simplifying r = 1.5

Solution

r = {0, -1.5, 1.5}

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