If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a + a + a(a + -5000) = 99000 Reorder the terms: 2a + a + a(-5000 + a) = 99000 2a + a + (-5000 * a + a * a) = 99000 2a + a + (-5000a + a2) = 99000 Combine like terms: 2a + a = 3a 3a + -5000a + a2 = 99000 Combine like terms: 3a + -5000a = -4997a -4997a + a2 = 99000 Solving -4997a + a2 = 99000 Solving for variable 'a'. Reorder the terms: -99000 + -4997a + a2 = 99000 + -99000 Combine like terms: 99000 + -99000 = 0 -99000 + -4997a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '99000' to each side of the equation. -99000 + -4997a + 99000 + a2 = 0 + 99000 Reorder the terms: -99000 + 99000 + -4997a + a2 = 0 + 99000 Combine like terms: -99000 + 99000 = 0 0 + -4997a + a2 = 0 + 99000 -4997a + a2 = 0 + 99000 Combine like terms: 0 + 99000 = 99000 -4997a + a2 = 99000 The a term is -4997a. Take half its coefficient (-2498.5). Square it (6242502.25) and add it to both sides. Add '6242502.25' to each side of the equation. -4997a + 6242502.25 + a2 = 99000 + 6242502.25 Reorder the terms: 6242502.25 + -4997a + a2 = 99000 + 6242502.25 Combine like terms: 99000 + 6242502.25 = 6341502.25 6242502.25 + -4997a + a2 = 6341502.25 Factor a perfect square on the left side: (a + -2498.5)(a + -2498.5) = 6341502.25 Calculate the square root of the right side: 2518.23395458 Break this problem into two subproblems by setting (a + -2498.5) equal to 2518.23395458 and -2518.23395458.Subproblem 1
a + -2498.5 = 2518.23395458 Simplifying a + -2498.5 = 2518.23395458 Reorder the terms: -2498.5 + a = 2518.23395458 Solving -2498.5 + a = 2518.23395458 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2498.5' to each side of the equation. -2498.5 + 2498.5 + a = 2518.23395458 + 2498.5 Combine like terms: -2498.5 + 2498.5 = 0.0 0.0 + a = 2518.23395458 + 2498.5 a = 2518.23395458 + 2498.5 Combine like terms: 2518.23395458 + 2498.5 = 5016.73395458 a = 5016.73395458 Simplifying a = 5016.73395458Subproblem 2
a + -2498.5 = -2518.23395458 Simplifying a + -2498.5 = -2518.23395458 Reorder the terms: -2498.5 + a = -2518.23395458 Solving -2498.5 + a = -2518.23395458 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2498.5' to each side of the equation. -2498.5 + 2498.5 + a = -2518.23395458 + 2498.5 Combine like terms: -2498.5 + 2498.5 = 0.0 0.0 + a = -2518.23395458 + 2498.5 a = -2518.23395458 + 2498.5 Combine like terms: -2518.23395458 + 2498.5 = -19.73395458 a = -19.73395458 Simplifying a = -19.73395458Solution
The solution to the problem is based on the solutions from the subproblems. a = {5016.73395458, -19.73395458}
| 5-13x-6x^2= | | 5v-87=2 | | 4x+5=1.5x+12.5 | | 10z-70=4z+14 | | 3(1+8v)+3=-186 | | 11x+2=9.7 | | 100y-y^2=2500 | | y=x^3+3x^2-7x+2 | | 2x(x+-3)(x+4)= | | 400=30x-190 | | 6y-25=y+30 | | 1x(x+6)(x+-4)= | | 5t^2+4t-3=0 | | 1=(b-5/3) | | -5x-1.4=4+5.8 | | X-11=-24+-3 | | 9y+10=3y-8 | | 3(k-7)=9 | | 24x-4=74+11x | | X+103=-71 | | xy-y^2=2500 | | (y-3/2)=2 | | 75-7x=4x-15 | | x=3x-62 | | 5=-4-5m | | 4x+-5=-25 | | -64+v=141 | | 3.1y+1=2.5y-3.5 | | 2=n-3/2 | | 8+0.75x=3+1.25x | | -(.5)(4x+2)=-5 | | X+7.6=3.8 |