SOLUTION: Please show step by step solution to the following equation: |4x-3| = 5sqrt(x+4)

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Question 882549: Please show step by step solution to the following equation:
|4x-3| = 5sqrt(x+4)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Positive solution:
abs%284x-3%29=4x-3
Then,
4x-3=5%2Asqrt%28x%2B4%29
%284x-3%29%5E2=25%28x%2B4%29
16x%5E2-24x%2B9=25x%2B100
16x%5E2-49x-91=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%2849+%2B-+sqrt%28+%28-49%29%5E2-4%2A16%2A%28-91%29+%29%29%2F%282%2A16%29+
x+=+%2849+%2B-+sqrt%28+2401+%2B5824+%29%29%2F%2832%29+
x+=+%2849+%2B-+sqrt%28+8225%29%29%2F%2832%29+
highlight_green%28x+=+%2849+%2B-+5%2Asqrt%28+329%29%29%2F%2832%29%29+
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Negative solution:
abs%284x-3%29=-%284x-3%29
-%284x-3%29=5%2Asqrt%28x%2B4%29
4x-3%29%5E2=25%28x%2B4%29
Hey, this is the same as above.