If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16x2 + 102x + 205 Reorder the terms: 0 = 205 + 102x + -16x2 Solving 0 = 205 + 102x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -205 = -205 -205 + -102x + 16x2 = 205 + 102x + -16x2 + -205 + -102x + 16x2 Reorder the terms: -205 + -102x + 16x2 = 205 + -205 + 102x + -102x + -16x2 + 16x2 Combine like terms: 205 + -205 = 0 -205 + -102x + 16x2 = 0 + 102x + -102x + -16x2 + 16x2 -205 + -102x + 16x2 = 102x + -102x + -16x2 + 16x2 Combine like terms: 102x + -102x = 0 -205 + -102x + 16x2 = 0 + -16x2 + 16x2 -205 + -102x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -205 + -102x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -12.8125 + -6.375x + x2 = 0 Move the constant term to the right: Add '12.8125' to each side of the equation. -12.8125 + -6.375x + 12.8125 + x2 = 0 + 12.8125 Reorder the terms: -12.8125 + 12.8125 + -6.375x + x2 = 0 + 12.8125 Combine like terms: -12.8125 + 12.8125 = 0.0000 0.0000 + -6.375x + x2 = 0 + 12.8125 -6.375x + x2 = 0 + 12.8125 Combine like terms: 0 + 12.8125 = 12.8125 -6.375x + x2 = 12.8125 The x term is -6.375x. Take half its coefficient (-3.1875). Square it (10.16015625) and add it to both sides. Add '10.16015625' to each side of the equation. -6.375x + 10.16015625 + x2 = 12.8125 + 10.16015625 Reorder the terms: 10.16015625 + -6.375x + x2 = 12.8125 + 10.16015625 Combine like terms: 12.8125 + 10.16015625 = 22.97265625 10.16015625 + -6.375x + x2 = 22.97265625 Factor a perfect square on the left side: (x + -3.1875)(x + -3.1875) = 22.97265625 Calculate the square root of the right side: 4.792979893 Break this problem into two subproblems by setting (x + -3.1875) equal to 4.792979893 and -4.792979893.Subproblem 1
x + -3.1875 = 4.792979893 Simplifying x + -3.1875 = 4.792979893 Reorder the terms: -3.1875 + x = 4.792979893 Solving -3.1875 + x = 4.792979893 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.1875' to each side of the equation. -3.1875 + 3.1875 + x = 4.792979893 + 3.1875 Combine like terms: -3.1875 + 3.1875 = 0.0000 0.0000 + x = 4.792979893 + 3.1875 x = 4.792979893 + 3.1875 Combine like terms: 4.792979893 + 3.1875 = 7.980479893 x = 7.980479893 Simplifying x = 7.980479893Subproblem 2
x + -3.1875 = -4.792979893 Simplifying x + -3.1875 = -4.792979893 Reorder the terms: -3.1875 + x = -4.792979893 Solving -3.1875 + x = -4.792979893 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.1875' to each side of the equation. -3.1875 + 3.1875 + x = -4.792979893 + 3.1875 Combine like terms: -3.1875 + 3.1875 = 0.0000 0.0000 + x = -4.792979893 + 3.1875 x = -4.792979893 + 3.1875 Combine like terms: -4.792979893 + 3.1875 = -1.605479893 x = -1.605479893 Simplifying x = -1.605479893Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.980479893, -1.605479893}
| p-6=-56 | | 9.25y=5.25x+40 | | -5-4(1-8p)=151 | | 2(5x-7)=26 | | F-7=-7 | | 1.145+2.1145=-2.8+1.6y | | 5y-30=-9+12y | | 7x-8=47 | | 5x=5+y | | y*4=168 | | 1.3w-1.2+1.6w=7.2-2w+6.3 | | 1.145833333+2.114583333x=-2.8+1.6y | | 2r+10=15 | | 3+3(-4-3a)=-81 | | y-19=19 | | 5x-9-3=2x | | 1.1145+2.1145=-2.8+1.6y | | C-2=-7 | | x^2-0.2x+0.16=0 | | 5y-30=-9-12y | | x-20+(x+17)+x=180 | | 3x^2-x-10=20 | | 8x+3x-7x-5=15 | | -19.2y=-40.6x-22 | | ln(11x-1)=-1 | | 3(5+7n)=183 | | 5.8j-1.5=1.4 | | x-20+(x-17)+x=180 | | 5(y-1)-3y=-13 | | 4x-6(-4.46)=46 | | ln(11*-2-1)= | | 21.3+9.7=10.4m+3-9.4m |