If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + 3w + 1 = 0 Reorder the terms: 1 + 3w + w2 = 0 Solving 1 + 3w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 3w + -1 + w2 = 0 + -1 Reorder the terms: 1 + -1 + 3w + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3w + w2 = 0 + -1 3w + w2 = 0 + -1 Combine like terms: 0 + -1 = -1 3w + w2 = -1 The w term is 3w. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3w + 2.25 + w2 = -1 + 2.25 Reorder the terms: 2.25 + 3w + w2 = -1 + 2.25 Combine like terms: -1 + 2.25 = 1.25 2.25 + 3w + w2 = 1.25 Factor a perfect square on the left side: (w + 1.5)(w + 1.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (w + 1.5) equal to 1.118033989 and -1.118033989.Subproblem 1
w + 1.5 = 1.118033989 Simplifying w + 1.5 = 1.118033989 Reorder the terms: 1.5 + w = 1.118033989 Solving 1.5 + w = 1.118033989 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + w = 1.118033989 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + w = 1.118033989 + -1.5 w = 1.118033989 + -1.5 Combine like terms: 1.118033989 + -1.5 = -0.381966011 w = -0.381966011 Simplifying w = -0.381966011Subproblem 2
w + 1.5 = -1.118033989 Simplifying w + 1.5 = -1.118033989 Reorder the terms: 1.5 + w = -1.118033989 Solving 1.5 + w = -1.118033989 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + w = -1.118033989 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + w = -1.118033989 + -1.5 w = -1.118033989 + -1.5 Combine like terms: -1.118033989 + -1.5 = -2.618033989 w = -2.618033989 Simplifying w = -2.618033989Solution
The solution to the problem is based on the solutions from the subproblems. w = {-0.381966011, -2.618033989}
| 9*0-2y=-37 | | -100+18(-30)= | | 6n^2-16n+4=0 | | .5Z+.5Z=3 | | -100+18(-5)= | | 1+b=45 | | -100+18(20)= | | 6(s+-4)=3(s+9) | | (3x+7)2= | | .0025(-2X)= | | x-24=-5x | | .75*j=2 | | 5t^2-1.5=0 | | 4+(2p+6)=8(3+3p) | | 4+(2p+6)=8 | | 28=15+5d | | 5x+6+2x+1=9x+3 | | -[4z-(10z+8)]=8+(5z+2) | | 11y+13=-1 | | 3x+4+-6(x+1)=6x+2 | | 10*3.14=3.184713376 | | 1-(-3)= | | 3x+4-6(x+1)=6x | | x+x+x+x+2x+2x=21 | | 4(x+7)=(3)(3x-2) | | 4(x+7)=(37)(3x-2) | | 5x^2y+2y=2x | | 20y+2=6 | | 4x+91=9x+258 | | 7x-48=2x+84 | | y^2+15y-10=0 | | 2x+10=-4x-8+8x |