Solve (3(-24/29)-2)^2=(-24/29-5)(9(-24/29)+4)

$$( 3 ( \frac { - 24 } { 29 } ) - 2 ) ^ { 2 } = ( \frac { - 24 } { 29 } - 5 ) ( 9 ( \frac { - 24 } { 29 } ) + 4 )$$

Verify

Solution Steps

Fraction \frac{-24}{29} can be rewritten as -\frac{24}{29} by extracting the negative sign.

$$\left(3\left(-\frac{24}{29}\right)-2\right)^{2}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Multiply 3 and -\frac{24}{29} to get -\frac{72}{29}.

$$\left(-\frac{72}{29}-2\right)^{2}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Subtract 2 from -\frac{72}{29} to get -\frac{130}{29}.

$$\left(-\frac{130}{29}\right)^{2}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Calculate -\frac{130}{29} to the power of 2 and get \frac{16900}{841}.

$$\frac{16900}{841}=\left(\frac{-24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Fraction \frac{-24}{29} can be rewritten as -\frac{24}{29} by extracting the negative sign.

$$\frac{16900}{841}=\left(-\frac{24}{29}-5\right)\left(9\times \frac{-24}{29}+4\right)$$

Subtract 5 from -\frac{24}{29} to get -\frac{169}{29}.

$$\frac{16900}{841}=-\frac{169}{29}\left(9\times \frac{-24}{29}+4\right)$$

Fraction \frac{-24}{29} can be rewritten as -\frac{24}{29} by extracting the negative sign.

$$\frac{16900}{841}=-\frac{169}{29}\left(9\left(-\frac{24}{29}\right)+4\right)$$

Multiply 9 and -\frac{24}{29} to get -\frac{216}{29}.

$$\frac{16900}{841}=-\frac{169}{29}\left(-\frac{216}{29}+4\right)$$

Add -\frac{216}{29} and 4 to get -\frac{100}{29}.

$$\frac{16900}{841}=-\frac{169}{29}\left(-\frac{100}{29}\right)$$

Multiply -\frac{169}{29} and -\frac{100}{29} to get \frac{16900}{841}.

$$\frac{16900}{841}=\frac{16900}{841}$$

Compare \frac{16900}{841} and \frac{16900}{841}.

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