How do you simplify #1.6 -d = 12.8/(3d)# ?

1 Answer
smendyka
Aug 4, 2017

See a solution process below:

Explanation:

First, multiply each side of the equation by #color(red)(3d)# to eliminate the fraction while keeping the equation balanced:

#color(red)(3d)(1.6 - d) = color(red)(3d) xx 12.8/(3d)#

#(color(red)(3d) xx 1.6) - (color(red)(3d) xx d) = cancel(color(red)(3d)) xx 12.8/color(red)(cancel(color(black)(3d)#

#4.8d - 3d^2 = 12.8#

Now, subtract #color(red)(12.8)# from each side of the equation and put the left side the equation in order of largest exponent to least to write the equation in standard polynomial form.

#4.8d - 3d^2 - color(red)(12.8) = 12.8 - color(red)(12.8)#

#4.8d - 3d^2 - 12.8 = 0#

#-3d^2 + 4.8d - 12.8 = 0#

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