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jenyasd209 [6]
3 years ago
8

Hat is the solution to the equation 3/3(4c + 16)=2c+9 ? c =

Mathematics
2 answers:
marusya05 [52]3 years ago
7 0
If it is \frac{3}{3(4c+16)}=2c+9, go to AAAAAA
if it is (\frac{3}{3})(4c+16)=2c+9, go to BBBBB

AAAAAAAAA
\frac{3}{3(4c+16)}=2c+9
\frac{1}{4c+16}=2c+9
times 4c+16 to both sides
1=(2c+9)(4c+16)
distribute
1=8c^2+68c+144
minus 1 both sides
0=8c^2+68c+143
use quadratic formula
c=\frac{-17- \sqrt{3} }{4} or \frac{-17+ \sqrt{3} }{4}




BBBBBBBBBBBB
(3/3)(4c+16)=2c+9
1(4c+16)=2c+9
4c+16=2c+9
minus 2c both sides
2c+16=9
minus 16 both sides
2c=-7
divide both sides by 2
c=-7/2
c=-3.5





if it is \frac{3}{3(4c+16)}=2c+9,
c=\frac{-17- \sqrt{3} }{4} or \frac{-17+ \sqrt{3} }{4}


if it is (\frac{3}{3})(4c+16)=2c+9, c=-3.5



aivan3 [116]3 years ago
3 0
Acutly its really simple Let's solve your equation step-by-step.<span><span><span>3/3</span><span>(<span><span>4c</span>+16</span>)</span></span>=<span><span>2c</span>+9</span></span>Step 1: Simplify both sides of the equation.<span><span><span>3/3</span><span>(<span><span>4c</span>+16</span>)</span></span>=<span><span>2c</span>+9</span></span><span>Simplify: (</span><span><span><span><span>(<span>3/3</span>)</span><span>(<span>4c</span>)</span></span>+<span><span>(<span>3/3</span>)</span><span>(16)</span></span></span>=<span><span>2c</span>+9</span></span>(Distribute)<span><span><span>4c</span>+16</span>=<span><span>2c</span>+9</span></span>Step 2: Subtract 2c from both sides.<span><span><span><span>4c</span>+16</span>−<span>2c</span></span>=<span><span><span>2c</span>+9</span>−<span>2c</span></span></span><span><span><span>2c</span>+16</span>=9</span>Step 3: Subtract 16 from both sides.<span><span><span><span>2c</span>+16</span>−16</span>=<span>9−16</span></span><span><span>2c</span>=<span>−7</span></span>Step 4: Divide both sides by 2.<span><span><span>2c/</span>2</span>=<span><span>−7/</span>2</span></span><span>c=<span><span>−7/</span>2</span></span>Answer:<span>c=<span><span>−7/</span><span>2</span></span></span>
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