If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 45x + 400 = 0 Reorder the terms: 400 + 45x + x2 = 0 Solving 400 + 45x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + 45x + -400 + x2 = 0 + -400 Reorder the terms: 400 + -400 + 45x + x2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 45x + x2 = 0 + -400 45x + x2 = 0 + -400 Combine like terms: 0 + -400 = -400 45x + x2 = -400 The x term is 45x. Take half its coefficient (22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. 45x + 506.25 + x2 = -400 + 506.25 Reorder the terms: 506.25 + 45x + x2 = -400 + 506.25 Combine like terms: -400 + 506.25 = 106.25 506.25 + 45x + x2 = 106.25 Factor a perfect square on the left side: (x + 22.5)(x + 22.5) = 106.25 Calculate the square root of the right side: 10.307764064 Break this problem into two subproblems by setting (x + 22.5) equal to 10.307764064 and -10.307764064.Subproblem 1
x + 22.5 = 10.307764064 Simplifying x + 22.5 = 10.307764064 Reorder the terms: 22.5 + x = 10.307764064 Solving 22.5 + x = 10.307764064 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + x = 10.307764064 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + x = 10.307764064 + -22.5 x = 10.307764064 + -22.5 Combine like terms: 10.307764064 + -22.5 = -12.192235936 x = -12.192235936 Simplifying x = -12.192235936Subproblem 2
x + 22.5 = -10.307764064 Simplifying x + 22.5 = -10.307764064 Reorder the terms: 22.5 + x = -10.307764064 Solving 22.5 + x = -10.307764064 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + x = -10.307764064 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + x = -10.307764064 + -22.5 x = -10.307764064 + -22.5 Combine like terms: -10.307764064 + -22.5 = -32.807764064 x = -32.807764064 Simplifying x = -32.807764064Solution
The solution to the problem is based on the solutions from the subproblems. x = {-12.192235936, -32.807764064}
| x^2+45x+400=0 | | 2x-6=2x-28 | | 6+60x+150x^2=0 | | 30-6x=-15y | | f(x)=2x^2-3X-11 | | -3x^2-8x-7=0 | | 3x^2(-2x)=8 | | x^2-4x+4=72 | | 3x^2-8x-7= | | -6=k-10 | | 5*3=15 | | y=-3x^2-8x-7 | | -4y+6=3(2y+4) | | 1x+3=2 | | n^2+20+100=0 | | 650=2(2x+x) | | 5x-9+2x=40 | | .125d-4+.375-4=5 | | n-14=46 | | 325=2x+x | | -1.666667x=10 | | x-.3x=140 | | -45+33-7= | | 8(w-1)=5w-17 | | -2x-3y=-8 | | -8x^3+40x=0 | | -8+9(-7m-4)= | | .2x(x+50)-6=.4(3x+20) | | -81=3+7x | | 6y^2-y=15 | | 2y+12=5y+14 | | f(x)=-9x^2+7x+1 |