If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5w2 + 7w + 1 = 0 Reorder the terms: 1 + 7w + 5w2 = 0 Solving 1 + 7w + 5w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + 1.4w + w2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 1.4w + -0.2 + w2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 1.4w + w2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 1.4w + w2 = 0 + -0.2 1.4w + w2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 1.4w + w2 = -0.2 The w term is 1.4w. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4w + 0.49 + w2 = -0.2 + 0.49 Reorder the terms: 0.49 + 1.4w + w2 = -0.2 + 0.49 Combine like terms: -0.2 + 0.49 = 0.29 0.49 + 1.4w + w2 = 0.29 Factor a perfect square on the left side: (w + 0.7)(w + 0.7) = 0.29 Calculate the square root of the right side: 0.538516481 Break this problem into two subproblems by setting (w + 0.7) equal to 0.538516481 and -0.538516481.Subproblem 1
w + 0.7 = 0.538516481 Simplifying w + 0.7 = 0.538516481 Reorder the terms: 0.7 + w = 0.538516481 Solving 0.7 + w = 0.538516481 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + w = 0.538516481 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + w = 0.538516481 + -0.7 w = 0.538516481 + -0.7 Combine like terms: 0.538516481 + -0.7 = -0.161483519 w = -0.161483519 Simplifying w = -0.161483519Subproblem 2
w + 0.7 = -0.538516481 Simplifying w + 0.7 = -0.538516481 Reorder the terms: 0.7 + w = -0.538516481 Solving 0.7 + w = -0.538516481 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + w = -0.538516481 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + w = -0.538516481 + -0.7 w = -0.538516481 + -0.7 Combine like terms: -0.538516481 + -0.7 = -1.238516481 w = -1.238516481 Simplifying w = -1.238516481Solution
The solution to the problem is based on the solutions from the subproblems. w = {-0.161483519, -1.238516481}
| -1=2a | | 3y-40=y+10 | | 8x-3v=17 | | 3m+6+m^2+5m+1= | | -4(4x-12)+4(3x+8)= | | 5h(h+4)= | | (24a+9)= | | 3x+3(5x+11)=123 | | 20k+5=8k+41 | | 5z+8=z+-4 | | Z^2-4z-45=0 | | 5x+3(3x+7)=91 | | 24x^4+x^2-3=0 | | 2x-5=107 | | 14=(-20f)-6 | | 5.12=4y | | 6w^2-5w+1= | | -5xy-10xy-9x+13y= | | ax^3+5bx^3+9cx^3= | | 7x+12y=88 | | X+2x+3x=16 | | x+5+2x=38 | | 5x-(4x+9)=6X-29 | | 4+12m-4(7k+8)= | | 8(w+2)=2w+40 | | 172=2x+6(6x-3) | | x^2-6x=-84 | | 11-46=4(x-5)-3 | | 5x+3i(x+1)=(1+i)x+7i | | 2x^3+8x^2-12x= | | x*x*4=360 | | 180=4x+4(2x+18) |