Question

x+5(x-4)²-4(x-3)²≤(2x-5)²-3(2-x)²+5

Answer 1

x+5(x²-8x+16)-4(x²-6x+9)  ≤ 4x²-20x+25+(-3)(2-x)²+3
x+5x²-40x+80-4x²+24x-36  ≤4x²-20x+28 -3(4-4x+x²)
x²-15x+44  ≤4x² -20x+28-12+12x-3x²
x²-15x+44  ≤x²-8x +16
-15x+44 ≤-8x+16  |-1
15x-44 ≥8x -16
15x-8x ≥-16+44
7x ≥ 28
x≥4