Question

Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

Answer 1

you can subtract 56 from both sides to get

6x^2 - 5x - 56 = 0

then you can factor this using the cross method

https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm

youi'll get two factors in the form (x + ___)(x + __)
(the plus signs can also be minus signs if the second term in each factor is negative)

set each factor equal to 0 separately (x + ___ = 0) and solve for x.