r*r+4=4r

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Solution for r*r+4=4r equation:


Simplifying
r * r + 4 = 4r

Multiply r * r
r2 + 4 = 4r

Reorder the terms:
4 + r2 = 4r

Solving
4 + r2 = 4r

Solving for variable 'r'.

Reorder the terms:
4 + -4r + r2 = 4r + -4r

Combine like terms: 4r + -4r = 0
4 + -4r + r2 = 0

Factor a trinomial.
(2 + -1r)(2 + -1r) = 0

Subproblem 1

Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2

Subproblem 2

Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2

Solution

r = {2, 2}

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