-3(7+4n)=-8n-29 what is the work and answer

Mathematics

2 answers:

fiasKO [112]3 years ago

6 0

Multiple (-3) with both 7 and 4n (-21) - 12n = (-8n) - 29 (-21) + 29 = (-8n) + 12n 8 = 4n 2 = n

sesenic [268]3 years ago

4 0

Hello there.

-3(7+4n)=-8n-29

First, simplify both sides of the equation.
Next, add 8n to both sides.
After, add 21 to both sides
Then, divide both sides by -4
Last, you'll get n=2

Your answer: n=2

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Arturiano [62]

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gtnhenbr [62]

For this specific equation we have to use something called factor by grouping to simplify the equation. This is done by using like terms. To began ill break the equation into two groups.
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The last choice given in the answer bank.

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8 0

3 years ago

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jenyasd209 [6]

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3 years ago

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3 years ago

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aleksandr82 [10.1K]

Hi there! The answer is C. h = 6 or h = −7

${h}^{2} - 42 = - h$
Add h to both sides of the equation.

$h {}^{2} + h - 42 = 0$
First we need to find the discriminant (which can be found using the formula D = b^2 - 4ac)

$d = 1 {}^{2} - 4 \times 1 \times - 42 \\ d = 1 + 168 \\ d = 169$

Now we can plug in our found values into the quadratic formula.

$x = \frac{ - b - \sqrt{d} }{2a} \: \\ or \\ \: x = \frac{ - b + \sqrt{d} }{2a}$

Plug in.
$x = \frac{ - 1 - \sqrt{196} }{2 \times 1} = \frac{ - 1 - 13}{2} = \frac{ - 14}{2} = - 7 \\ or \\ x = \frac{ - 1 + \sqrt{196} }{2 \times 1} = \frac{ - 1 + 13}{2} = \frac{ 12}{2} = 6$

Hence, the answer is C. h = 6 or h = −7

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3 years ago

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