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12. \( (6x-4)(x+2)=3x(2x+4) \)

Ask by Norris Owen. in Indonesia
Jan 20,2025

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\( x = -2 \)

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To solve the equation \( (6x - 4)(x + 2) = 3x(2x + 4) \), let's first simplify both sides. Expanding the left side: \[ (6x - 4)(x + 2) = 6x^2 + 12x - 4x - 8 = 6x^2 + 8x - 8 \] Now, expanding the right side: \[ 3x(2x + 4) = 6x^2 + 12x \] Setting both sides equal, we have: \[ 6x^2 + 8x - 8 = 6x^2 + 12x \] Now, subtract \(6x^2\) from both sides: \[ 8x - 8 = 12x \] Now, rearranging gives us: \[ 8x - 12x = 8 \] This simplifies to: \[ -4x = 8 \] Now, divide both sides by -4: \[ x = -2 \] Thus, the solution to the equation is \(x = -2\).

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