The equivalent quadratic equation is -30x^2 - 19x + 4
An essential mathematical property known as the distributive property explains how addition and subtraction work together in algebra.
According to this, you can divide a number's multiplication across each word enclosed in parenthesis when you multiply it by the sum (or difference) of two other integers.
Given the expression (5x + 4)(-6x + 1)
Expanding, we will have:
(5x + 4)(-6x + 1) = 5x(-6x) + 5x(1) + 4(-6x) + 4(1)
(5x + 4)(-6x + 1) = -30x^2 + 5x - 24x + 4
(5x + 4)(-6x + 1) =- 30x^2 - 19x + 4
Hence the equivalent quadratic equation is -30x^2 - 19x + 4