64r^2-80r+25=

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Solution for 64r^2-80r+25= equation:


Simplifying
64r2 + -80r + 25 = 0

Reorder the terms:
25 + -80r + 64r2 = 0

Solving
25 + -80r + 64r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + -8r)(5 + -8r) = 0

Subproblem 1

Set the factor '(5 + -8r)' equal to zero and attempt to solve: Simplifying 5 + -8r = 0 Solving 5 + -8r = 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 + -8r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8r = 0 + -5 -8r = 0 + -5 Combine like terms: 0 + -5 = -5 -8r = -5 Divide each side by '-8'. r = 0.625 Simplifying r = 0.625

Subproblem 2

Set the factor '(5 + -8r)' equal to zero and attempt to solve: Simplifying 5 + -8r = 0 Solving 5 + -8r = 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 + -8r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8r = 0 + -5 -8r = 0 + -5 Combine like terms: 0 + -5 = -5 -8r = -5 Divide each side by '-8'. r = 0.625 Simplifying r = 0.625

Solution

r = {0.625, 0.625}

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