Solve: 12 raised to the x squared plus 5 x minus 4 power is equal to 12 raised to the 2 x plus 6 power

Because both sides have the same base, 12, which is positive and not 1, their exponents must be equal: x² + 5x − 4 = 2x + 6. Rearranging gives x² + 3x − 10 = 0, which factors as (x + 5)(x − 2) = 0. Thus x = −5 or x = 2, matching the choice that lists both solutions.

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