What equation is equivalent to (2x2 plus 4x-7)(x-3)?

To find an equivalent equation to ((2x^2 + 4x - 7)(x - 3)), you can use the distributive property (also known as the FOIL method for binomials). Multiplying each term in the first polynomial by each term in the second gives:

[ 2x^2 \cdot x + 2x^2 \cdot (-3) + 4x \cdot x + 4x \cdot (-3) - 7 \cdot x - 7 \cdot (-3). ]

This simplifies to (2x^3 - 6x^2 + 4x^2 - 12x - 7x + 21), which further simplifies to (2x^3 - 2x^2 - 19x + 21). Thus, the equivalent equation is (2x^3 - 2x^2 - 19x + 21).