If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.125x2 + 30x = 15x + -200 Reorder the terms: 30x + 0.125x2 = 15x + -200 Reorder the terms: 30x + 0.125x2 = -200 + 15x Solving 30x + 0.125x2 = -200 + 15x Solving for variable 'x'. Reorder the terms: 200 + 30x + -15x + 0.125x2 = -200 + 15x + 200 + -15x Combine like terms: 30x + -15x = 15x 200 + 15x + 0.125x2 = -200 + 15x + 200 + -15x Reorder the terms: 200 + 15x + 0.125x2 = -200 + 200 + 15x + -15x Combine like terms: -200 + 200 = 0 200 + 15x + 0.125x2 = 0 + 15x + -15x 200 + 15x + 0.125x2 = 15x + -15x Combine like terms: 15x + -15x = 0 200 + 15x + 0.125x2 = 0 Begin completing the square. Divide all terms by 0.125 the coefficient of the squared term: Divide each side by '0.125'. 1600 + 120x + x2 = 0 Move the constant term to the right: Add '-1600' to each side of the equation. 1600 + 120x + -1600 + x2 = 0 + -1600 Reorder the terms: 1600 + -1600 + 120x + x2 = 0 + -1600 Combine like terms: 1600 + -1600 = 0 0 + 120x + x2 = 0 + -1600 120x + x2 = 0 + -1600 Combine like terms: 0 + -1600 = -1600 120x + x2 = -1600 The x term is 120x. Take half its coefficient (60). Square it (3600) and add it to both sides. Add '3600' to each side of the equation. 120x + 3600 + x2 = -1600 + 3600 Reorder the terms: 3600 + 120x + x2 = -1600 + 3600 Combine like terms: -1600 + 3600 = 2000 3600 + 120x + x2 = 2000 Factor a perfect square on the left side: (x + 60)(x + 60) = 2000 Calculate the square root of the right side: 44.72135955 Break this problem into two subproblems by setting (x + 60) equal to 44.72135955 and -44.72135955.Subproblem 1
x + 60 = 44.72135955 Simplifying x + 60 = 44.72135955 Reorder the terms: 60 + x = 44.72135955 Solving 60 + x = 44.72135955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = 44.72135955 + -60 Combine like terms: 60 + -60 = 0 0 + x = 44.72135955 + -60 x = 44.72135955 + -60 Combine like terms: 44.72135955 + -60 = -15.27864045 x = -15.27864045 Simplifying x = -15.27864045Subproblem 2
x + 60 = -44.72135955 Simplifying x + 60 = -44.72135955 Reorder the terms: 60 + x = -44.72135955 Solving 60 + x = -44.72135955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + x = -44.72135955 + -60 Combine like terms: 60 + -60 = 0 0 + x = -44.72135955 + -60 x = -44.72135955 + -60 Combine like terms: -44.72135955 + -60 = -104.72135955 x = -104.72135955 Simplifying x = -104.72135955Solution
The solution to the problem is based on the solutions from the subproblems. x = {-15.27864045, -104.72135955}
| 21+19m=42+12m | | x/41=-12+3 | | -4x-9-4x=71 | | 150m-75m+48000=50500-175m | | 32-3= | | 7(x+6)=9x+3-2x+39 | | x-(-1.5)=-9 | | 8+x+3x=8 | | 24/16 | | 5g+9=2g+15-15 | | e^2+3e-24=0 | | -58-9x=50+3x | | 4v+8=92 | | 1/2x+5=4 | | x^6=16x^2 | | 150m-100m+46125=43200-175m | | x-(-1.5)=9 | | 20x+8=4(2x+8) | | .5(x+100)=.56x-418 | | 7x+1-6x=8 | | -5/6y-(y-1/2)=1/24(y-9) | | 22w+40=18w | | 23x-8-14x=11 | | 0.125x^2+30x=15x+200 | | 4(2a-2)=-10(a+5) | | 30x=50+4x^2 | | (4+x)-3=6 | | 1(x+6)-(2x+7)-3x=-9 | | 6-2x=9x+6 | | 0=6+8+g | | 71-u=57 | | 3-(2)+8-10= |