r(r+4)-4(r+4)=

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


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

Reorder the terms:
r(4 + r) + -4(r + 4) = 0
(4 * r + r * r) + -4(r + 4) = 0
(4r + r2) + -4(r + 4) = 0

Reorder the terms:
4r + r2 + -4(4 + r) = 0
4r + r2 + (4 * -4 + r * -4) = 0
4r + r2 + (-16 + -4r) = 0

Reorder the terms:
-16 + 4r + -4r + r2 = 0

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

Solving
-16 + r2 = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + r2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + r2 = 0 + 16
r2 = 0 + 16

Combine like terms: 0 + 16 = 16
r2 = 16

Simplifying
r2 = 16

Take the square root of each side:
r = {-4, 4}

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