(r-4)(r-4)=0

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Solution for (r-4)(r-4)=0 equation:


Simplifying
(r + -4)(r + -4) = 0

Reorder the terms:
(-4 + r)(r + -4) = 0

Reorder the terms:
(-4 + r)(-4 + r) = 0

Multiply (-4 + r) * (-4 + r)
(-4(-4 + r) + r(-4 + r)) = 0
((-4 * -4 + r * -4) + r(-4 + r)) = 0
((16 + -4r) + r(-4 + r)) = 0
(16 + -4r + (-4 * r + r * r)) = 0
(16 + -4r + (-4r + r2)) = 0

Combine like terms: -4r + -4r = -8r
(16 + -8r + r2) = 0

Solving
16 + -8r + r2 = 0

Solving for variable 'r'.

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

Subproblem 1

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

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 = {4, 4}

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