Question - Solving Quadratic Equation by Factoring
Solution:
The equation given in the image you provided is:(4x + 1)(3x - 2) = 0This equation is a quadratic equation in the form of a product of two binomials set equal to zero. To solve for x, we apply the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.Therefore, we can set each factor equal to zero and solve for x:4x + 1 = 03x - 2 = 0Solving the first equation, 4x + 1 = 0 for x:4x = -1x = -1/4Solving the second equation, 3x - 2 = 0 for x:3x = 2x = 2/3So the solutions to the equation are x = -1/4 and x = 2/3.
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