3r(7r-8)r=

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Solution for 3r(7r-8)r= equation:


Simplifying
3r(7r + -8) * r = 0

Reorder the terms:
3r(-8 + 7r) * r = 0

Reorder the terms for easier multiplication:
3r * r(-8 + 7r) = 0

Multiply r * r
3r2(-8 + 7r) = 0
(-8 * 3r2 + 7r * 3r2) = 0
(-24r2 + 21r3) = 0

Solving
-24r2 + 21r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r2'.
3r2(-8 + 7r) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}

Subproblem 2

Set the factor '(-8 + 7r)' equal to zero and attempt to solve: Simplifying -8 + 7r = 0 Solving -8 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7r = 0 + 8 7r = 0 + 8 Combine like terms: 0 + 8 = 8 7r = 8 Divide each side by '7'. r = 1.142857143 Simplifying r = 1.142857143

Solution

r = {0, 1.142857143}

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