If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 396 = 13 + 2w(17 + 2w) 396 = 13 + (17 * 2w + 2w * 2w) 396 = 13 + (34w + 4w2) Solving 396 = 13 + 34w + 4w2 Solving for variable 'w'. Combine like terms: 396 + -13 = 383 383 + -34w + -4w2 = 13 + 34w + 4w2 + -13 + -34w + -4w2 Reorder the terms: 383 + -34w + -4w2 = 13 + -13 + 34w + -34w + 4w2 + -4w2 Combine like terms: 13 + -13 = 0 383 + -34w + -4w2 = 0 + 34w + -34w + 4w2 + -4w2 383 + -34w + -4w2 = 34w + -34w + 4w2 + -4w2 Combine like terms: 34w + -34w = 0 383 + -34w + -4w2 = 0 + 4w2 + -4w2 383 + -34w + -4w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 383 + -34w + -4w2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -95.75 + 8.5w + w2 = 0 Move the constant term to the right: Add '95.75' to each side of the equation. -95.75 + 8.5w + 95.75 + w2 = 0 + 95.75 Reorder the terms: -95.75 + 95.75 + 8.5w + w2 = 0 + 95.75 Combine like terms: -95.75 + 95.75 = 0.00 0.00 + 8.5w + w2 = 0 + 95.75 8.5w + w2 = 0 + 95.75 Combine like terms: 0 + 95.75 = 95.75 8.5w + w2 = 95.75 The w term is 8.5w. Take half its coefficient (4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. 8.5w + 18.0625 + w2 = 95.75 + 18.0625 Reorder the terms: 18.0625 + 8.5w + w2 = 95.75 + 18.0625 Combine like terms: 95.75 + 18.0625 = 113.8125 18.0625 + 8.5w + w2 = 113.8125 Factor a perfect square on the left side: (w + 4.25)(w + 4.25) = 113.8125 Calculate the square root of the right side: 10.668294147 Break this problem into two subproblems by setting (w + 4.25) equal to 10.668294147 and -10.668294147.Subproblem 1
w + 4.25 = 10.668294147 Simplifying w + 4.25 = 10.668294147 Reorder the terms: 4.25 + w = 10.668294147 Solving 4.25 + w = 10.668294147 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + w = 10.668294147 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + w = 10.668294147 + -4.25 w = 10.668294147 + -4.25 Combine like terms: 10.668294147 + -4.25 = 6.418294147 w = 6.418294147 Simplifying w = 6.418294147Subproblem 2
w + 4.25 = -10.668294147 Simplifying w + 4.25 = -10.668294147 Reorder the terms: 4.25 + w = -10.668294147 Solving 4.25 + w = -10.668294147 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + w = -10.668294147 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + w = -10.668294147 + -4.25 w = -10.668294147 + -4.25 Combine like terms: -10.668294147 + -4.25 = -14.918294147 w = -14.918294147 Simplifying w = -14.918294147Solution
The solution to the problem is based on the solutions from the subproblems. w = {6.418294147, -14.918294147}
| -3(-2)+2y=6 | | m*3+8=1 | | -4(x+2)=6x+10x+12 | | -5x(x+y-2)= | | 5(4)-4y=20 | | 21x-105=3x+8 | | 2/n=2/3 | | -2(y+12)=y+9 | | 2x+4(x+3)=42 | | n/39=8/13 | | 2x+5=12x-21 | | 2x-15=-5x-29 | | 3/7+1/5= | | 42x^4=7x | | y=4E-05x+0.099 | | (x+10)+(y+1)=z | | -1/2x-7=8 | | 2(4-5x)=3(8-4x) | | u^3+6u^2=24+4u | | 8(s+7)=100-3 | | (x+10)+(y+1)=z+1 | | 3(3x+1)-(2x-5)-28=2(3x+1)-(2x-5) | | (2-x^2)/(1-2x)0 | | 3ln(x)+ln(2)-ln(3)=3 | | 7-2x=5x+28 | | 16=x^2-9 | | Cosx=coax | | -4x+x=-5+38 | | (2-x^2)/(1-2x) | | 4x-x=-5-38 | | K(x)=x^2+4x-7 | | -4x-x=5+38 |