Solve the equation 2^x+2 - 2^x + 12(2^x-1) = 0 for x.

March 17, 2026Mathematics

ScanSolve AI Answer

March 17, 2026

Answer

$(12 - q)x^{2} - 50$

Step 1: Expand the term with the coefficient 10.

10(x^2 - 5) = 10 \cdot x^2 - 10 \cdot 5 = 10x^2 - 50

Step 2: Substitute the expansion into the original expression.

Original expression:

2x^2 - q x^2 + 10(x^2 - 5)

Substitute:

2x^2 - q x^2 + 10x^2 - 50

Step 3: Combine the coefficients of the $x^2$ terms.

Coefficients: $2$ , $-q$ , $10$

2 - q + 10 = 12 - q

Step 4: Write the simplified expression.

(12 - q)x^2 - 50

(12 - q)x^{2 - 50}

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