Question

(7m+6)×(6-7m)= 36- m (m+1)

Answer 1

(6+7m)(6-7m)-36+m(m+1)=0

36-49m²-36+m²+m=0

-48m²+m=0

m(1-48m)=0

m1=0,     m2= 1/48

Answer 2

(7m +6)*(6-7m)=36-m*(m+1)
ответ m1=0,m2=1/48

Answer 3

Let's simplify both sides of the equation step by step to determine if they are equal:

Left-hand side (LHS): (7m + 6) × (6 - 7m)

To simplify this, we'll use the distributive property of multiplication over addition:

LHS = 7m × 6 - 7m × 7m + 6 × 6 - 6 × 7m LHS = 42m - 49m^2 + 36 - 42m

Now, combine the like terms:

LHS = 42m - 42m - 49m^2 + 36 LHS = -49m^2 + 36

Right-hand side (RHS): 36 - m(m + 1)

To simplify this, we'll first distribute the -m through the parentheses:

RHS = 36 - m^2 - m

Now, the equation becomes:

LHS = RHS -49m^2 + 36 = 36 - m^2 - m

To proceed, let's bring all the terms to one side of the equation:

-49m^2 + m^2 + m + 36 - 36 = 0

Simplify further:

-48m^2 + m = 0

Now, this is a quadratic equation, but it doesn't match the original equation you provided. It seems there might be an error in the initial equation or some steps of the simplification.

Please review the original equation and ensure all the terms are correct. If you provide the correct equation, I'd be happy to help you simplify it correctly.