Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - 7-1 Ratios and Proportions - Practice and Problem-Solving Exercises - Page 438: 59


$ -5/6, 1/2$

Work Step by Step

For these kinds of problems, always always always cross multiply! Then you would get a new equation: (3-4x) * (2+3x) = (1+5x) * (1). Solve this out to get: $(6+9x -8x-12x^{2}) = 1+5x.$ Simplify this to get: $(-12x^{2}+x+6) = 1+5x.$ Let's move everything to one side to get: $0= 12x^{2}+4x-5.$ Then factor this out, using any method you normally use. $(2x-1) (6x+5) =0$ and then set both equal to 0 to get x= -5/6 and 1/2.
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