9r^2-40r+16=

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Solution for 9r^2-40r+16= equation:


Simplifying
9r2 + -40r + 16 = 0

Reorder the terms:
16 + -40r + 9r2 = 0

Solving
16 + -40r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(4 + -9r)(4 + -1r) = 0

Subproblem 1

Set the factor '(4 + -9r)' equal to zero and attempt to solve: Simplifying 4 + -9r = 0 Solving 4 + -9r = 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 + -9r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9r = 0 + -4 -9r = 0 + -4 Combine like terms: 0 + -4 = -4 -9r = -4 Divide each side by '-9'. r = 0.4444444444 Simplifying r = 0.4444444444

Subproblem 2

Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 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 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4

Solution

r = {0.4444444444, 4}

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