Book Maths Puzzle Algebra

z(5z-1)=3z(z+3)
"solve by suitable methods"....whatever that means. :)

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Book Other Question

Find the demensions of a rectangle that the perimeter = 210 feet
2 times the width + 15 = demensions. The directions for this say to solve the equation by "suitable methods"....I am confused. Please help.
y - 1 = [(y+1)/4]^1/2