If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + 21w + -180 = 0 Reorder the terms: -180 + 21w + 2w2 = 0 Solving -180 + 21w + 2w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -90 + 10.5w + w2 = 0 Move the constant term to the right: Add '90' to each side of the equation. -90 + 10.5w + 90 + w2 = 0 + 90 Reorder the terms: -90 + 90 + 10.5w + w2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 10.5w + w2 = 0 + 90 10.5w + w2 = 0 + 90 Combine like terms: 0 + 90 = 90 10.5w + w2 = 90 The w term is 10.5w. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5w + 27.5625 + w2 = 90 + 27.5625 Reorder the terms: 27.5625 + 10.5w + w2 = 90 + 27.5625 Combine like terms: 90 + 27.5625 = 117.5625 27.5625 + 10.5w + w2 = 117.5625 Factor a perfect square on the left side: (w + 5.25)(w + 5.25) = 117.5625 Calculate the square root of the right side: 10.842624221 Break this problem into two subproblems by setting (w + 5.25) equal to 10.842624221 and -10.842624221.Subproblem 1
w + 5.25 = 10.842624221 Simplifying w + 5.25 = 10.842624221 Reorder the terms: 5.25 + w = 10.842624221 Solving 5.25 + w = 10.842624221 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + w = 10.842624221 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + w = 10.842624221 + -5.25 w = 10.842624221 + -5.25 Combine like terms: 10.842624221 + -5.25 = 5.592624221 w = 5.592624221 Simplifying w = 5.592624221Subproblem 2
w + 5.25 = -10.842624221 Simplifying w + 5.25 = -10.842624221 Reorder the terms: 5.25 + w = -10.842624221 Solving 5.25 + w = -10.842624221 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + w = -10.842624221 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + w = -10.842624221 + -5.25 w = -10.842624221 + -5.25 Combine like terms: -10.842624221 + -5.25 = -16.092624221 w = -16.092624221 Simplifying w = -16.092624221Solution
The solution to the problem is based on the solutions from the subproblems. w = {5.592624221, -16.092624221}
| b^-2/b^4 | | 8z^2-3z-5z^2-4z= | | 9x-2=-3 | | Z-z-z+z= | | 7x+5-5x=-11-6x | | (5x+3)(2x+25)=1406 | | 3x-5=-8(5n+6) | | 25x-14+7x+2=180 | | X-.25x=840 | | x+-6x-3=30 | | X+1200=8500 | | 3p^4+5p^4-2p^4= | | 13x-7+8x-2=180 | | (13x-6)-3=100-18 | | N^2+10n-62=0 | | 8x-16=6x+20 | | 10x-13=37+20(2) | | 14x-15+139=180 | | 4(k-4)-3(k+2)-14=-30 | | y/18=y* | | 7x^3+70x^2+175x=0 | | 7/9=c/15 | | 5x-4=9x+2 | | (13x-6)-3=100 | | 9x+2=5x-4 | | 45+x=61+2x | | ln(3x-2)+ln(x+1)=2lnx | | ((1/x)-(1/2))/(x-2) | | 5x-3=x-9 | | -42/-7= | | -z/5=7 | | 4(4x+3)=21x+8-5x+4 |