Question

Solve for x.

(2x - 1)(3x + 2) = x + 292

Answer 1

Expand the LHS and then move the RHS to the LHS and simplify.
There is still more to do.

Answer 2

Expand means to multiply out.

Answer 3

?

Answer 4

are you given options?

Answer 5

no

Answer 6

The following is from the Mathematica program and the terms are not in classroom order.
\[6 x^2+x-(x+292)-2=0 \]\[6 x^2-294=0\]The above can be simplified and factored.

Answer 7

than you have to multiply the LHS and solve for the value of x.

Answer 8

(2x-1)(3x-2) =x+292
6x^2 -4x-3x +2 =x+292
6x^2 -8x -290 =0
3x^2 -4x -145 =0 so just solve this quadratic for x

Answer 9

@jhonyy9 You did not copy the problem as given, you changed the sign.

Answer 10

\[6 x^2-294=0 \]\[x^2-49=0 \]

Answer 11

yes right there is a sign inversed what i changed - sorry

Answer 12

yes, robtobey has resolved it down to the difference of two perfect squares, where it is easy to solve by factoring.