text: Given:\na = b = c\n\nEquation:\n2a^2 + b(c*4) = 24\n\nSo:\n2a^2 + a(a*4) = 24\n2a^2 + 4a^2 = 24\n6a^2 = 24\na^2 = 4\nsqrt(a^2) = sqrt(4)\na = sqrt(4)\na = -2 or 2\n\nThe answer is a, b and c are all -2 or 2\n\nTo confirm try it out:\n2(2^2) + 2(2x4) = 24\n2(4) + 2(8) = 24\n8 + 16 = 24 \n24 = 24, \nSo a,b,c = 2 is one answer\n\n2(-2)^2 + -2(-2x4) = 24\n2(4) + -2(-8) = 24\n8 + 16 = 24 \n24 = 24, so a,b,c = -2 is another answer\n\nIt is important to remember that sqrt of 4 is either -2 or 2.