If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x2 + 5.5x + 5 = 0 Reorder the terms: 5 + 5.5x + 0.5x2 = 0 Solving 5 + 5.5x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 10 + 11x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 11x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 11x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11x + x2 = 0 + -10 11x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 11x + x2 = -10 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 = -10 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -10 + 30.25 Combine like terms: -10 + 30.25 = 20.25 30.25 + 11x + x2 = 20.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = 20.25 Calculate the square root of the right side: 4.5 Break this problem into two subproblems by setting (x + 5.5) equal to 4.5 and -4.5.Subproblem 1
x + 5.5 = 4.5 Simplifying x + 5.5 = 4.5 Reorder the terms: 5.5 + x = 4.5 Solving 5.5 + x = 4.5 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 = 4.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = 4.5 + -5.5 x = 4.5 + -5.5 Combine like terms: 4.5 + -5.5 = -1 x = -1 Simplifying x = -1Subproblem 2
x + 5.5 = -4.5 Simplifying x + 5.5 = -4.5 Reorder the terms: 5.5 + x = -4.5 Solving 5.5 + x = -4.5 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 = -4.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = -4.5 + -5.5 x = -4.5 + -5.5 Combine like terms: -4.5 + -5.5 = -10 x = -10 Simplifying x = -10Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1, -10}
| 2x-9-3x=4 | | 2x-9-3x=5 | | 4[y-2]+6=0 | | 3b+3=-9-3b | | 8+4(4x-3)=4(6x+4)-4 | | (x+3)+(2x-19)=23 | | -4[-2(2x-3)]+1=x-3 | | 6.4-2x-6.63=610.5 | | S=Rx+v | | 4x=3x+108 | | n+4=4n-14 | | -4[-2(x-3)]+1=x-3 | | 3x-9+2x+2=180 | | 4(7)-7y=7 | | (13x-15)-(9+6x)=-3x | | 7x+9+z=180 | | 4d-3=13 | | 4n-40=7-2n+2 | | 4x+12y=-20 | | 5t-5=5t+5 | | -0.66y+0.5x=-1 | | 2(3-x)+7x=4-(3x+2) | | -2/3(-4/5)= | | 4+3x+1=23 | | 5x-2(8)=8 | | 5x+10-4x=0 | | 10x-5x+150=10x+85 | | 1.666666667x+0.3333333333x=(11+0.3333333333)+2.666666667x | | 500m+90p=5000m | | 15x+10=x+15 | | ax+bc=c | | 6x^2+17x+12= |