If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 162 = x(2x + 1) Reorder the terms: 162 = x(1 + 2x) 162 = (1 * x + 2x * x) 162 = (1x + 2x2) Solving 162 = 1x + 2x2 Solving for variable 'x'. Reorder the terms: 162 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2 Combine like terms: 1x + -1x = 0 162 + -1x + -2x2 = 0 + 2x2 + -2x2 162 + -1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 162 + -1x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -81 + 0.5x + x2 = 0 Move the constant term to the right: Add '81' to each side of the equation. -81 + 0.5x + 81 + x2 = 0 + 81 Reorder the terms: -81 + 81 + 0.5x + x2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 0.5x + x2 = 0 + 81 0.5x + x2 = 0 + 81 Combine like terms: 0 + 81 = 81 0.5x + x2 = 81 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = 81 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = 81 + 0.0625 Combine like terms: 81 + 0.0625 = 81.0625 0.0625 + 0.5x + x2 = 81.0625 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = 81.0625 Calculate the square root of the right side: 9.003471553 Break this problem into two subproblems by setting (x + 0.25) equal to 9.003471553 and -9.003471553.Subproblem 1
x + 0.25 = 9.003471553 Simplifying x + 0.25 = 9.003471553 Reorder the terms: 0.25 + x = 9.003471553 Solving 0.25 + x = 9.003471553 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = 9.003471553 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 9.003471553 + -0.25 x = 9.003471553 + -0.25 Combine like terms: 9.003471553 + -0.25 = 8.753471553 x = 8.753471553 Simplifying x = 8.753471553Subproblem 2
x + 0.25 = -9.003471553 Simplifying x + 0.25 = -9.003471553 Reorder the terms: 0.25 + x = -9.003471553 Solving 0.25 + x = -9.003471553 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = -9.003471553 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -9.003471553 + -0.25 x = -9.003471553 + -0.25 Combine like terms: -9.003471553 + -0.25 = -9.253471553 x = -9.253471553 Simplifying x = -9.253471553Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.753471553, -9.253471553}
| -5+v=-1 | | r+3.23=8.23 | | 4x+4=5x-10 | | -3.5z=-2.31 | | 5.5x-8.625=.9x | | 2x-9=3*0 | | 5.5x-8.625=.9 | | 9+2m-4m=-3-4m | | .4x-10=20 | | 9x-6y+3=0 | | n-1=1 | | -5+v=1 | | 12+3-f=10 | | b+7=-3+3b | | 5x+y^2=25 | | 10x=5x-5 | | 0.36x+0.26=3.86 | | (4v-1)(5v+3)= | | x-5=-2x-5 | | -35-4=11 | | 3(y-2)+5(y+4)=-10 | | n-7n= | | 8-2y-y^2= | | x/3+4=x/5 | | -6n(-2n)=16 | | -6x-5=8x-5 | | -300=25n | | 100-n=60 | | (2x-4)+3x=-1 | | -1-3k=-8+4k | | .2(750+x)=350 | | 10x-18=12x-18 |