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Simplifying
5r(r + 4) = 4r(r + 5)
Reorder the terms:
5r(4 + r) = 4r(r + 5)
(4 * 5r + r * 5r) = 4r(r + 5)
(20r + 5r2) = 4r(r + 5)
Reorder the terms:
20r + 5r2 = 4r(5 + r)
20r + 5r2 = (5 * 4r + r * 4r)
20r + 5r2 = (20r + 4r2)
Add '-20r' to each side of the equation.
20r + -20r + 5r2 = 20r + -20r + 4r2
Combine like terms: 20r + -20r = 0
0 + 5r2 = 20r + -20r + 4r2
5r2 = 20r + -20r + 4r2
Combine like terms: 20r + -20r = 0
5r2 = 0 + 4r2
5r2 = 4r2
Solving
5r2 = 4r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-4r2' to each side of the equation.
5r2 + -4r2 = 4r2 + -4r2
Combine like terms: 5r2 + -4r2 = 1r2
1r2 = 4r2 + -4r2
Combine like terms: 4r2 + -4r2 = 0
1r2 = 0
Divide each side by '1'.
r2 = 0
Simplifying
r2 = 0
Take the square root of each side:
r = {0}
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