If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 16r2 + 3r + -9 Reorder the terms: 0 = -9 + 3r + 16r2 Solving 0 = -9 + 3r + 16r2 Solving for variable 'r'. Combine like terms: 0 + 9 = 9 9 + -3r + -16r2 = -9 + 3r + 16r2 + 9 + -3r + -16r2 Reorder the terms: 9 + -3r + -16r2 = -9 + 9 + 3r + -3r + 16r2 + -16r2 Combine like terms: -9 + 9 = 0 9 + -3r + -16r2 = 0 + 3r + -3r + 16r2 + -16r2 9 + -3r + -16r2 = 3r + -3r + 16r2 + -16r2 Combine like terms: 3r + -3r = 0 9 + -3r + -16r2 = 0 + 16r2 + -16r2 9 + -3r + -16r2 = 16r2 + -16r2 Combine like terms: 16r2 + -16r2 = 0 9 + -3r + -16r2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -0.5625 + 0.1875r + r2 = 0 Move the constant term to the right: Add '0.5625' to each side of the equation. -0.5625 + 0.1875r + 0.5625 + r2 = 0 + 0.5625 Reorder the terms: -0.5625 + 0.5625 + 0.1875r + r2 = 0 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.0000 + 0.1875r + r2 = 0 + 0.5625 0.1875r + r2 = 0 + 0.5625 Combine like terms: 0 + 0.5625 = 0.5625 0.1875r + r2 = 0.5625 The r term is 0.1875r. Take half its coefficient (0.09375). Square it (0.0087890625) and add it to both sides. Add '0.0087890625' to each side of the equation. 0.1875r + 0.0087890625 + r2 = 0.5625 + 0.0087890625 Reorder the terms: 0.0087890625 + 0.1875r + r2 = 0.5625 + 0.0087890625 Combine like terms: 0.5625 + 0.0087890625 = 0.5712890625 0.0087890625 + 0.1875r + r2 = 0.5712890625 Factor a perfect square on the left side: (r + 0.09375)(r + 0.09375) = 0.5712890625 Calculate the square root of the right side: 0.755836664 Break this problem into two subproblems by setting (r + 0.09375) equal to 0.755836664 and -0.755836664.Subproblem 1
r + 0.09375 = 0.755836664 Simplifying r + 0.09375 = 0.755836664 Reorder the terms: 0.09375 + r = 0.755836664 Solving 0.09375 + r = 0.755836664 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.09375' to each side of the equation. 0.09375 + -0.09375 + r = 0.755836664 + -0.09375 Combine like terms: 0.09375 + -0.09375 = 0.00000 0.00000 + r = 0.755836664 + -0.09375 r = 0.755836664 + -0.09375 Combine like terms: 0.755836664 + -0.09375 = 0.662086664 r = 0.662086664 Simplifying r = 0.662086664Subproblem 2
r + 0.09375 = -0.755836664 Simplifying r + 0.09375 = -0.755836664 Reorder the terms: 0.09375 + r = -0.755836664 Solving 0.09375 + r = -0.755836664 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.09375' to each side of the equation. 0.09375 + -0.09375 + r = -0.755836664 + -0.09375 Combine like terms: 0.09375 + -0.09375 = 0.00000 0.00000 + r = -0.755836664 + -0.09375 r = -0.755836664 + -0.09375 Combine like terms: -0.755836664 + -0.09375 = -0.849586664 r = -0.849586664 Simplifying r = -0.849586664Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.662086664, -0.849586664}
| y^3-512=0 | | -4+46=7(3t+6) | | -3(7n-8)=-144 | | x^2+y^2+30x+18y+297=0 | | -8*-18= | | 2x+5x=36 | | (5x-6)-(6x-4)=-1(-4+x)-4x+6 | | 4Y^2=18Y-2 | | 5x+2=90 | | -8x+(-28)-8x=-140 | | 4a-33=2a+15 | | x(20)=84 | | x^3+729=0 | | 5(x-1)+16(2x+3)=3(2x-1)-x | | 4(y+5)=21+4y | | 7.2x=21.6 | | 7x^2-45x+28=0 | | x(x+20)=84 | | 4x^2-4-8=0 | | k-2+4k=8 | | 7k^2+9k=0 | | 3x+4-5x=9+8x | | 10x^2-17x=0 | | 12a+1b=50 | | 2y+2=3y-9 | | 7x^2-31x-20=0 | | 4a-6b=96 | | 6(0.3333333333+-0.1666666667b)=3-b | | 6x^2+3x+24=3 | | 4a+6b=96 | | -1+3=x+2 | | x+3(x-1)=6-4(2x+3) |