Question

(3x-5)(7-5x)-(5x+2)(2-3x)=4

Answer 1

(3x-5)(7-5x)-(5x+2)(2-3x)=4

21x - 35 - 15x^2 + 25x - (10x +4 - 15x^2 -6x) =4

46x - 10x +6x = 4 + 35 +4

42x = 43

x= 43/42

Answer 2

\(\left(3x-5\right)\left(7-5x\right)-\left(5x+2\right)\left(2-3x\right)=4\)

\(3x.\left(7-5x\right)-5.\left(7-5x\right)-5x.\left(2-3x\right)+2.\left(2-3x\right)=4\)

\(3x.7-3x.5x-5.7+5.5x-5x.2+5x.3x+2.2-2.3x=4\)

\(21x-15x^2-35+25x-10x+15x^2+4-6x=4\)

\(30x-31=4\)

\(\Rightarrow30x=4+31\)

\(\Rightarrow30x=35\)

\(\Rightarrow x=35\div30\)

\(\Rightarrow x=\frac{7}{6}\)

Answer 3

\(\left(3x-5\right)\left(7-5x\right)-\left(5x+2\right)\left(2-3x\right)=4\)

\(=>21x-15x^2-35+25x-\left(10x-15x^2+4-6x\right)=4\)

\(=>21x-15x^2-35+25x-10x+15x^2-4+6x=4\)

\(=>42x-39=4=>42x=4+39=43=>x=\frac{43}{42}\)