5r^2-22r+21=0

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Solution for 5r^2-22r+21=0 equation:


Simplifying
5r2 + -22r + 21 = 0

Reorder the terms:
21 + -22r + 5r2 = 0

Solving
21 + -22r + 5r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(7 + -5r)(3 + -1r) = 0

Subproblem 1

Set the factor '(7 + -5r)' equal to zero and attempt to solve: Simplifying 7 + -5r = 0 Solving 7 + -5r = 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 + -5r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5r = 0 + -7 -5r = 0 + -7 Combine like terms: 0 + -7 = -7 -5r = -7 Divide each side by '-5'. r = 1.4 Simplifying r = 1.4

Subproblem 2

Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3

Solution

r = {1.4, 3}

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