Solve 4/2n+2=-5 | Microsoft Math Solver

Solve for n

n = -\frac{7}{2} = -3\frac{1}{2} = -3.5

Steps for Solving Linear Equation

\frac { 4 } { 2 } n + 2 = - 5

Divide 4 by 2 to get 2.

2n+2=-5

Subtract 2 from both sides.

2n=-5-2

Subtract 2 from -5 to get -7.

2n=-7

Divide both sides by 2.

n=\frac{-7}{2}

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

n=-\frac{7}{2}

Quiz

Linear Equation

5 problems similar to:

\frac { 4 } { 2 } n + 2 = - 5

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Let's consider, first of all, to rewrite the fraction putting aside {m \choose k} and using the definition of the binomial in terms of the Rising and Falling Factorials \bbox[lightyellow] { \eqalign{ & 4^{\,k} \left( \matrix{ n \cr k \cr} \right)\;\mathop /\limits_{} \;\left( {\left( \matrix{ 2n \cr 2k \cr} \right)\left( \matrix{ 2k \cr k \cr} \right)} \right) = 4^{\,k} {{n^{\,\underline {\,k\,} } \left( {2k} \right)!k!k!} \over {k!\left( {2n} \right)^{\,\underline {\,2k\,} } \left( {2k} \right)!}} = 4^{\,k} {{n^{\,\underline {\,k\,} } } \over {\left( {2n} \right)^{\,\underline {\,2k\,} } }}k! = \cr & = 4^{\,k} {{\prod\limits_{0\, \le \,j\, \le \,k - 1} {\left( {n - j} \right)} } \over {\prod\limits_{0\, \le \,j\, \le \,2k - 1} {\left( {2n - j} \right)} }}k! = {{4^{\,k} k!\prod\limits_{0\, \le \,j\, \le \,k - 1} {\left( {n - j} \right)} } \over {\prod\limits_{0\, \le \,2j\, \le \,2k - 1} {\left( {2n - 2j} \right)} \prod\limits_{0\, \le \,2j + 1\, \le \,2k - 1} {\left( {2n - 2j - 1} \right)} }} = \cr & = {{4^{\,k} k!\prod\limits_{0\, \le \,j\, \le \,k - 1} {\left( {n - j} \right)} } \over {2^{\,k} \prod\limits_{0\, \le \,j\, \le \,k - 1} {\left( {n - j} \right)} \; \quad 2^{\,k} \prod\limits_{0\, \le \,j\, \le \,k - 1} {\left( {n - 1/2 - j} \right)} }} = {{k!} \over {\prod\limits_{0\, \le \,j\, \le \,k - 1} {\left( {n - 1/2 - j} \right)} }} = \cr & = {{k!} \over {\left( {n - 1/2} \right)^{\,\underline {\,k\,} } }} = 1^{\,\overline {\,k\,} } \left( {n + 1/2} \right)^{\,\overline {\, - \,k\,} } = 1\;\mathop /\limits_{} \;\left( \matrix{n - 1/2 \cr k \cr} \right) \cr} } \tag{1} ...

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2n+2=-5

Divide 4 by 2 to get 2.

2n=-5-2

Subtract 2 from both sides.

2n=-7

Subtract 2 from -5 to get -7.

n=\frac{-7}{2}

Divide both sides by 2.

n=-\frac{7}{2}

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

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