If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 30x + 20 = 0 Reorder the terms: 20 + 30x + x2 = 0 Solving 20 + 30x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 30x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 30x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 30x + x2 = 0 + -20 30x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 30x + x2 = -20 The x term is 30x. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30x + 225 + x2 = -20 + 225 Reorder the terms: 225 + 30x + x2 = -20 + 225 Combine like terms: -20 + 225 = 205 225 + 30x + x2 = 205 Factor a perfect square on the left side: (x + 15)(x + 15) = 205 Calculate the square root of the right side: 14.317821063 Break this problem into two subproblems by setting (x + 15) equal to 14.317821063 and -14.317821063.Subproblem 1
x + 15 = 14.317821063 Simplifying x + 15 = 14.317821063 Reorder the terms: 15 + x = 14.317821063 Solving 15 + x = 14.317821063 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 14.317821063 + -15 Combine like terms: 15 + -15 = 0 0 + x = 14.317821063 + -15 x = 14.317821063 + -15 Combine like terms: 14.317821063 + -15 = -0.682178937 x = -0.682178937 Simplifying x = -0.682178937Subproblem 2
x + 15 = -14.317821063 Simplifying x + 15 = -14.317821063 Reorder the terms: 15 + x = -14.317821063 Solving 15 + x = -14.317821063 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = -14.317821063 + -15 Combine like terms: 15 + -15 = 0 0 + x = -14.317821063 + -15 x = -14.317821063 + -15 Combine like terms: -14.317821063 + -15 = -29.317821063 x = -29.317821063 Simplifying x = -29.317821063Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.682178937, -29.317821063}
| 16x=-160 | | [2-t]=3 | | 2b=5+3 | | (4x+18)=2(x+23) | | 6x-7=49 | | x^2ln(2x+1)=5ln(2x+1) | | 7(3x-2)+10x-35=13 | | x^3-175=0 | | 36-4=x(4-1) | | -8s+1=-33 | | 5x=12x+20 | | 1.1(2.2)4x=7(4.8)x | | 3x-8x=37 | | 3(2m-9+6m)=2m+2-4m | | 6*6x=51+x | | 7x-2(x-5)=-3+7x+9 | | 12x-16=9x-7 | | 23x+7y=-13 | | x^2+98=100 | | -5r+12r-3=16r-21 | | 10y+2x+12=14x-5y+10 | | 32-(x+6)=9x-4 | | 7(6)-3(6)+4=x | | -3(z-3)=-z | | 4x-11x=49 | | 9y-6-7y+3=0 | | 8x+1=5x-20 | | x=15+8 | | 8p^3+1=0 | | 3y-4+54=6y+50-4y | | 3x-5x-15=16-4x | | 6-(-2)-3(-5)=x |