Hi there, can you help answer the algebra questions provided in the attached image please?

Question 4 - 17 marks You should use algebra in all parts of this question, showing your working clearly. (a) Solve the following equations, giving your answers as integers, fractions or surds in their simplest form. (i) 6x -2 = -3x + 1 [2] (ii) 10 + =(3 -7x) = -3+3 [3] iii -3x 2 I - 4 = -3 [4] (b) Solve the equation 2x2 + 30r + 112 =0 by factorisation. [3] (c) A student was asked to rearrange the formula -at=b= -3b+ -c(-2b -3) to make b the subject, where -135 - 56c / 0. The student's incorrect attempt is shown below. at -b =-3b + 9 c (-20 - 3) 4a + 30 = -12b + 21 9 c ( - 26 - 3 ) -364 + 270 = -1086 + 210(-20 -3) -360 + 270 = -1086 + 42bc -630 -360 + 630 = -1086 + 4260 -270 -360 + 630 = -1356 + 420c -360 + 630 = b(-135 + 420) b = -360 + 630 -120 + 210 -135 + 420 -45+ 140 (i) Write out a correct rearrangement of the formula. [3] (ii) Identify and explain, as if directly to the student, two of the three mistakes made by the student. [2]