Simplify, leaving your answer as a quadratic: (2x + 3)/(x+4) - (3x - 6) = 4

(2x + 3)/(x+4) - (3x - 6) = 4 Initial equationTimes all terms by (x + 4) (2x + 3) - (3x - 6)(x + 4) = 4 (x + 4)Multiply out the brackets (2x + 3) - (3x2 + 12x - 6x - 24) = 4x + 16Remove from brackets by factoring in the minus sign 2x + 3 - 3x2 - 12x + 6x + 24 = 4x + 16Group the terms 2x - 12x + 6x - 3x2 + 3 + 24 = 4x + 16 Add/Subtract the terms -4x - 3x2 + 27 = 4x + 16Move all terms to one side 3x2 + 8x - 11 = 0

AO

Related Maths GCSE answers

All answers ▸

A linear sequence starts a + 2b, a +6b, a + 10b. The 2nd has a value of 8 and the 5th term has a value of 44. What are the values of a and b?


Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)


f(x) = 4x^2 + 8x - 5 ; complete the square to find the turning point of f(x).


ABC and DEF are similar isoceles triangles. AB=BC=5cm, AC=6cm, DF=12cm. What is the area of DEF?