If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 20x + 180 = 100 Reorder the terms: 180 + 20x + x2 = 100 Solving 180 + 20x + x2 = 100 Solving for variable 'x'. Reorder the terms: 180 + -100 + 20x + x2 = 100 + -100 Combine like terms: 180 + -100 = 80 80 + 20x + x2 = 100 + -100 Combine like terms: 100 + -100 = 0 80 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + 20x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + 20x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 20x + x2 = 0 + -80 20x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 20x + x2 = -80 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -80 + 100 Reorder the terms: 100 + 20x + x2 = -80 + 100 Combine like terms: -80 + 100 = 20 100 + 20x + x2 = 20 Factor a perfect square on the left side: (x + 10)(x + 10) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (x + 10) equal to 4.472135955 and -4.472135955.Subproblem 1
x + 10 = 4.472135955 Simplifying x + 10 = 4.472135955 Reorder the terms: 10 + x = 4.472135955 Solving 10 + x = 4.472135955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 4.472135955 + -10 Combine like terms: 10 + -10 = 0 0 + x = 4.472135955 + -10 x = 4.472135955 + -10 Combine like terms: 4.472135955 + -10 = -5.527864045 x = -5.527864045 Simplifying x = -5.527864045Subproblem 2
x + 10 = -4.472135955 Simplifying x + 10 = -4.472135955 Reorder the terms: 10 + x = -4.472135955 Solving 10 + x = -4.472135955 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = -4.472135955 + -10 Combine like terms: 10 + -10 = 0 0 + x = -4.472135955 + -10 x = -4.472135955 + -10 Combine like terms: -4.472135955 + -10 = -14.472135955 x = -14.472135955 Simplifying x = -14.472135955Solution
The solution to the problem is based on the solutions from the subproblems. x = {-5.527864045, -14.472135955}
| x^2+20x+18=100 | | X^2+20=40 | | 5(4+6x)=-27 | | 18x-7=14x+1 | | 2x-(8x+3)=9x-48 | | 18x+3=20x-7 | | 2+8n=2n+8 | | 2p+34=54.56 | | 6a-7b=9 | | 0.4x+3.6=9.55 | | 11n+47=3 | | 7c-3c-x=-4c | | 3t+17=2 | | -4(3x-7)+x=7(x+2) | | 0=-4.9t+30t+3.2 | | 14=7k-28h | | 7a+21=14 | | 7k-28h=14 | | x*2y*2-9z*4= | | 12=14 | | 0=-4.9t^2+14.7t+19.6 | | 169m*2-4u*2= | | 9x*2-49= | | 0=-16t^2+164t | | a*2-36= | | 37-x=115 | | 6*(2x-2)=48 | | 6(6x-2)=48 | | 16x*4-y*2= | | 9x*4-4= | | -98+2x*2= | | 3m=7m+32 |