Solve for x: $5^{2x + 1} \times 7^{2x} = 175$.

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Which X from the choices will result to 175 is the answer.
 

Manual Solution
$5^{2x + 1} \cdot 7^{2x} = 175$

$5^{2x} \cdot 5^1 \cdot 7^{2x} = 175$

$5^{2x} \cdot 7^{2x} = 35$

$(5 \cdot 7)^{2x} = 35$

$35^{2x} = 35$

$35^{2x} = 35^1$

Hence,
$2x = 1$

$x = 1/2$