Expand the following expression and simplify: (3x+2)(4x+5)

12x2 + 15x + 8x + 10 = 12x2 + 23x + 10

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Factorise and thus solve: x^2– 2x– 24 = 0


Solve the following equation : x^2 + 2x +1 = 0


Calculate the length of the side of the Triangle marked by x.


Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.