If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 180 = x2 + 5x Reorder the terms: 180 = 5x + x2 Solving 180 = 5x + x2 Solving for variable 'x'. Reorder the terms: 180 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 180 + -5x + -1x2 = 0 + x2 + -1x2 180 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 180 + -5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -180 + 5x + x2 = 0 Move the constant term to the right: Add '180' to each side of the equation. -180 + 5x + 180 + x2 = 0 + 180 Reorder the terms: -180 + 180 + 5x + x2 = 0 + 180 Combine like terms: -180 + 180 = 0 0 + 5x + x2 = 0 + 180 5x + x2 = 0 + 180 Combine like terms: 0 + 180 = 180 5x + x2 = 180 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = 180 + 6.25 Reorder the terms: 6.25 + 5x + x2 = 180 + 6.25 Combine like terms: 180 + 6.25 = 186.25 6.25 + 5x + x2 = 186.25 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = 186.25 Calculate the square root of the right side: 13.647344064 Break this problem into two subproblems by setting (x + 2.5) equal to 13.647344064 and -13.647344064.Subproblem 1
x + 2.5 = 13.647344064 Simplifying x + 2.5 = 13.647344064 Reorder the terms: 2.5 + x = 13.647344064 Solving 2.5 + x = 13.647344064 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 13.647344064 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 13.647344064 + -2.5 x = 13.647344064 + -2.5 Combine like terms: 13.647344064 + -2.5 = 11.147344064 x = 11.147344064 Simplifying x = 11.147344064Subproblem 2
x + 2.5 = -13.647344064 Simplifying x + 2.5 = -13.647344064 Reorder the terms: 2.5 + x = -13.647344064 Solving 2.5 + x = -13.647344064 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -13.647344064 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -13.647344064 + -2.5 x = -13.647344064 + -2.5 Combine like terms: -13.647344064 + -2.5 = -16.147344064 x = -16.147344064 Simplifying x = -16.147344064Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.147344064, -16.147344064}
| 2x^3+12x^2+2x+12=0 | | 25z^2+60z-39=0 | | 29x+2y=17 | | 2x-5=7x+5 | | -2x+8+x+1=0 | | 3x+2-3x-24=0 | | 22=5(y-2)-y | | 3y+15=25 | | Y/2+4=6 | | 1.5x+4.2=3x+12 | | 6=m/3-9 | | 3n=30 | | 45=2n | | 2(7+w)=130 | | Y/2+6=10 | | 4x9=30k/16 | | y^3-6y^2+9y-4=0 | | 9n=10656 | | y^3+2y^2-6y+1=0 | | -1/4(-4+2p) | | y^3-6y^2+5y-1=0 | | 2/1=21-n/n | | -3g+7=34 | | 7w=9w-23 | | t^2-4t=-48 | | -8(t+12)+22= | | 3+7,2-1,1=1,2-4,1+x | | ay+by+ax+bx=0 | | x^2-13x=-42 | | 10-2x=80 | | 2b+9=3b-1 | | 4(4w+9)=84 |