6r^2=7r

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Solution for 6r^2=7r equation:


Simplifying
6r2 = 7r

Solving
6r2 = 7r

Solving for variable 'r'.

Reorder the terms:
-7r + 6r2 = 7r + -7r

Combine like terms: 7r + -7r = 0
-7r + 6r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-7 + 6r) = 0

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 '(-7 + 6r)' equal to zero and attempt to solve: Simplifying -7 + 6r = 0 Solving -7 + 6r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6r = 0 + 7 6r = 0 + 7 Combine like terms: 0 + 7 = 7 6r = 7 Divide each side by '6'. r = 1.166666667 Simplifying r = 1.166666667

Solution

r = {0, 1.166666667}

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