SOLUTION: I have no idea what this is even called but I am really confused and need help with these types of problems. thanks Factor Completely. 1. 2xsquared+7x-4 Factor and solv

Question 356634: I have no idea what this is even called but I am really confused and need help with these types of problems. thanks
Factor Completely.
1. 2xsquared+7x-4

Factor and solve.
1. 81xsquared=16
2. 8xsquared-6x-5=0
My attempt.
(x-2) (x+3)
x-2=0 x+3=0
x=2 x=-3
8x=0
x=-8

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
81x^2=16
81x^2-16=0
(9x+4)(9x-4)=0
.
9x=-4
x=-4/9
.
9x=4
x=4/9
.
.
8x^2-6x-5=0
8*-5=-40
Two factors of -40 whose sum is -6 are -10 and 4.
8x^2-10x+4x-5=0
2x(4x-5)+(4x-5)=0
(2x+1)(4x-5)=0 Factoring by grouping.
.
2x=-1
x=-1/2
.
4x=5
x=5/4
.
Ed
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