(12+r)(11-r)=

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Solution for (12+r)(11-r)= equation:


Simplifying
(12 + r)(11 + -1r) = 0

Multiply (12 + r) * (11 + -1r)
(12(11 + -1r) + r(11 + -1r)) = 0
((11 * 12 + -1r * 12) + r(11 + -1r)) = 0
((132 + -12r) + r(11 + -1r)) = 0
(132 + -12r + (11 * r + -1r * r)) = 0
(132 + -12r + (11r + -1r2)) = 0

Combine like terms: -12r + 11r = -1r
(132 + -1r + -1r2) = 0

Solving
132 + -1r + -1r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(11 + -1r)(12 + r) = 0

Subproblem 1

Set the factor '(11 + -1r)' equal to zero and attempt to solve: Simplifying 11 + -1r = 0 Solving 11 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 0 + -11 -1r = 0 + -11 Combine like terms: 0 + -11 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11

Subproblem 2

Set the factor '(12 + r)' equal to zero and attempt to solve: Simplifying 12 + r = 0 Solving 12 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + r = 0 + -12 r = 0 + -12 Combine like terms: 0 + -12 = -12 r = -12 Simplifying r = -12

Solution

r = {11, -12}

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