Solve by factoring. 3x² + 16 = 16x

Question

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To solve the equation $3x^2 - 16x + 16 = 0$ by factoring, we first need to rewrite the equation in standard form, which is already done. However, this quadratic equation does not factor easily into simple binomials. Instead, we solve it using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, where $a = 3$, $b = -16$, and $c = 16$. Substituting these values into the formula gives us the roots of the equation. However, the provided choices suggest a misunderstanding or a mistake in the process described. Factoring directly as suggested by the choices is not straightforward due to the nature of the equation. The correct approach involves recognizing that the equation as presented does not directly lead to the options given without further manipulation or the use of the quadratic formula. Upon closer inspection, it seems there might have been an error in interpreting the equation or the solution process based on the choices provided. The correct solution involves finding the values of x that satisfy the equation, which, after correctly applying the quadratic formula or completing the square (since direct factoring into simple binomials is not feasible), would yield $x = \frac{16 \pm \sqrt{(-16)^2-4*3*16}}{2*3}$. This calculation does not directly match any of the provided choices, indicating a possible error in the setup of the question or a misunderstanding in the solution approach. The mention of "factoring" might have been misleading if the expectation was to apply the quadratic formula or another method for solving quadratic equations that do not factor neatly. Given the options and the typical approach to such problems, there seems to be a discrepancy in the expected solution method and the actual method required to solve the equation accurately.

Solve by Factoring. 3x2 + 16 = 16x

Solve by Factoring. 3x² + 16 = 16x