If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + 13w + -159 = 0 Reorder the terms: -159 + 13w + 2w2 = 0 Solving -159 + 13w + 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'. -79.5 + 6.5w + w2 = 0 Move the constant term to the right: Add '79.5' to each side of the equation. -79.5 + 6.5w + 79.5 + w2 = 0 + 79.5 Reorder the terms: -79.5 + 79.5 + 6.5w + w2 = 0 + 79.5 Combine like terms: -79.5 + 79.5 = 0.0 0.0 + 6.5w + w2 = 0 + 79.5 6.5w + w2 = 0 + 79.5 Combine like terms: 0 + 79.5 = 79.5 6.5w + w2 = 79.5 The w term is 6.5w. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5w + 10.5625 + w2 = 79.5 + 10.5625 Reorder the terms: 10.5625 + 6.5w + w2 = 79.5 + 10.5625 Combine like terms: 79.5 + 10.5625 = 90.0625 10.5625 + 6.5w + w2 = 90.0625 Factor a perfect square on the left side: (w + 3.25)(w + 3.25) = 90.0625 Calculate the square root of the right side: 9.490126448 Break this problem into two subproblems by setting (w + 3.25) equal to 9.490126448 and -9.490126448.Subproblem 1
w + 3.25 = 9.490126448 Simplifying w + 3.25 = 9.490126448 Reorder the terms: 3.25 + w = 9.490126448 Solving 3.25 + w = 9.490126448 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + w = 9.490126448 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + w = 9.490126448 + -3.25 w = 9.490126448 + -3.25 Combine like terms: 9.490126448 + -3.25 = 6.240126448 w = 6.240126448 Simplifying w = 6.240126448Subproblem 2
w + 3.25 = -9.490126448 Simplifying w + 3.25 = -9.490126448 Reorder the terms: 3.25 + w = -9.490126448 Solving 3.25 + w = -9.490126448 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + w = -9.490126448 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + w = -9.490126448 + -3.25 w = -9.490126448 + -3.25 Combine like terms: -9.490126448 + -3.25 = -12.740126448 w = -12.740126448 Simplifying w = -12.740126448Solution
The solution to the problem is based on the solutions from the subproblems. w = {6.240126448, -12.740126448}
| -5x-16=-111 | | 10x-10+30=12x-4 | | -2(y+6)=y+3+2y | | -55=5+10x | | 2x-10=x+3 | | 20.6+2.1x=-8.2x | | 89+5x-7=14x+16+1 | | 7x-2=13+4x | | 3(y+7)=10y | | 89+5x-7=14x+16 | | 2n=4(n-8) | | 8y=201 | | 4(8-y)=2y+16 | | 5(n-3)=2n-6 | | 80+6x+6=15x+5 | | 7a=2(a-10) | | 28m=56 | | -9+x=-25 | | s-16=17 | | X+23+80=4x+17 | | -16=x+7 | | 113+8x+2=180 | | b+b+18=4b | | 2x^4-21x^3-3x^2+24x+40=0 | | q+q+q=q+6 | | 3(1-x)+2=5-3x | | -6(5x-14)=27-3(8x+15) | | 2a+6=-a-8 | | 3(3x+1)-4(x-4)=29 | | -4.2+0.02x-0.4=0.03x | | 2p+3=13 | | 9(x-3)=5(x+5) |