2x^2-5x-10=4x-5 solve algebraically

by factoring the answer is - x=1/2, 5

Step-by-step explanation:

hope it helps:))

x=-½

x=5

Step-by-step explanation:

2x²-5x-10=4x-5

2x²-5x-10-4x+5=0

2x²-9x-5=0

2x²+x-10x-5=0

x(2x+1)-5(2x+1)=0

(2x+1)(x-5)=0

2x+1=0

2x=-1

x=-1/2

x-5=0

x=5

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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