If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 11x + -51 = 0 Reorder the terms: -51 + 11x + x2 = 0 Solving -51 + 11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '51' to each side of the equation. -51 + 11x + 51 + x2 = 0 + 51 Reorder the terms: -51 + 51 + 11x + x2 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 11x + x2 = 0 + 51 11x + x2 = 0 + 51 Combine like terms: 0 + 51 = 51 11x + x2 = 51 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = 51 + 30.25 Reorder the terms: 30.25 + 11x + x2 = 51 + 30.25 Combine like terms: 51 + 30.25 = 81.25 30.25 + 11x + x2 = 81.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = 81.25 Calculate the square root of the right side: 9.013878189 Break this problem into two subproblems by setting (x + 5.5) equal to 9.013878189 and -9.013878189.Subproblem 1
x + 5.5 = 9.013878189 Simplifying x + 5.5 = 9.013878189 Reorder the terms: 5.5 + x = 9.013878189 Solving 5.5 + x = 9.013878189 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = 9.013878189 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = 9.013878189 + -5.5 x = 9.013878189 + -5.5 Combine like terms: 9.013878189 + -5.5 = 3.513878189 x = 3.513878189 Simplifying x = 3.513878189Subproblem 2
x + 5.5 = -9.013878189 Simplifying x + 5.5 = -9.013878189 Reorder the terms: 5.5 + x = -9.013878189 Solving 5.5 + x = -9.013878189 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = -9.013878189 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = -9.013878189 + -5.5 x = -9.013878189 + -5.5 Combine like terms: -9.013878189 + -5.5 = -14.513878189 x = -14.513878189 Simplifying x = -14.513878189Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.513878189, -14.513878189}
| -x+35=2x+11 | | 3x+9=51-7x | | 0.75+0.16y+0.2y=0.34 | | r^2-6r-14=0 | | 4x+42=x+15 | | 12v-5+10z+8= | | y/3-(y-8)/5=-12/5 | | 3y+5x-18=0 | | y/3-y-8/5=12/5 | | x-5=4x+7 | | 5b(12b+7)=0 | | 8n^2-8=280 | | v^2+8=-6v | | 375x+240=0.6 | | 375x-0.6=240 | | 375-0.6=240 | | 2.7a+159b=1000 | | 0.3a+2.3b=8 | | 1450-x/1450=92.8 | | (-3)(7x^2y-xy+2y)= | | 0.3b+2.3a=a | | 257-63x= | | -2/3m=-6 | | 6t^2+1=2t+5t^2 | | 157+x=4x-41 | | (1450-x/1450)100=92.8 | | 2.3a+.3b=8 | | 10x-2(4x-7)=24 | | 4x^2-96=-20x | | 159a+2.7b=1000 | | 74x= | | -2x+29=x+8 |