r(r-2)=35

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Solution for r(r-2)=35 equation:


Simplifying
r(r + -2) = 35

Reorder the terms:
r(-2 + r) = 35
(-2 * r + r * r) = 35
(-2r + r2) = 35

Solving
-2r + r2 = 35

Solving for variable 'r'.

Reorder the terms:
-35 + -2r + r2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -2r + r2 = 0

Factor a trinomial.
(-5 + -1r)(7 + -1r) = 0

Subproblem 1

Set the factor '(-5 + -1r)' equal to zero and attempt to solve: Simplifying -5 + -1r = 0 Solving -5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = 0 + 5 -1r = 0 + 5 Combine like terms: 0 + 5 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5

Subproblem 2

Set the factor '(7 + -1r)' equal to zero and attempt to solve: Simplifying 7 + -1r = 0 Solving 7 + -1r = 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 + -1r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 0 + -7 -1r = 0 + -7 Combine like terms: 0 + -7 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7

Solution

r = {-5, 7}

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