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$(2x +3) (4x + 3) = 0$

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Add and subtract polynomials

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Q.

(2x +3) (4x + 3) = 0

Set First Factor Equal: To find the values of $x$ , we need to set each factor equal to zero because if a product equals zero, at least one of the factors must be zero.
Solve for x: First, set the first factor equal to zero: $2x + 3 = 0$ . Subtract $3$ from both sides: $2x = -3$ . Divide both sides by $2$ : $x = -\frac{3}{2}$ .
Set Second Factor Equal: Now, set the second factor equal to zero: $4x + 3 = 0$ . Subtract $3$ from both sides: $4x = -3$ . Divide both sides by $4$ : $x = -\frac{3}{4}$ .

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