If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + -5w + -144 = 0 Reorder the terms: -144 + -5w + 2w2 = 0 Solving -144 + -5w + 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'. -72 + -2.5w + w2 = 0 Move the constant term to the right: Add '72' to each side of the equation. -72 + -2.5w + 72 + w2 = 0 + 72 Reorder the terms: -72 + 72 + -2.5w + w2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -2.5w + w2 = 0 + 72 -2.5w + w2 = 0 + 72 Combine like terms: 0 + 72 = 72 -2.5w + w2 = 72 The w term is -2.5w. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5w + 1.5625 + w2 = 72 + 1.5625 Reorder the terms: 1.5625 + -2.5w + w2 = 72 + 1.5625 Combine like terms: 72 + 1.5625 = 73.5625 1.5625 + -2.5w + w2 = 73.5625 Factor a perfect square on the left side: (w + -1.25)(w + -1.25) = 73.5625 Calculate the square root of the right side: 8.576858399 Break this problem into two subproblems by setting (w + -1.25) equal to 8.576858399 and -8.576858399.Subproblem 1
w + -1.25 = 8.576858399 Simplifying w + -1.25 = 8.576858399 Reorder the terms: -1.25 + w = 8.576858399 Solving -1.25 + w = 8.576858399 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + w = 8.576858399 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + w = 8.576858399 + 1.25 w = 8.576858399 + 1.25 Combine like terms: 8.576858399 + 1.25 = 9.826858399 w = 9.826858399 Simplifying w = 9.826858399Subproblem 2
w + -1.25 = -8.576858399 Simplifying w + -1.25 = -8.576858399 Reorder the terms: -1.25 + w = -8.576858399 Solving -1.25 + w = -8.576858399 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + w = -8.576858399 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + w = -8.576858399 + 1.25 w = -8.576858399 + 1.25 Combine like terms: -8.576858399 + 1.25 = -7.326858399 w = -7.326858399 Simplifying w = -7.326858399Solution
The solution to the problem is based on the solutions from the subproblems. w = {9.826858399, -7.326858399}
| 49s^2+69s+25=0 | | 2x^2-5w-114=0 | | 7x-6+4x+5= | | 5x^2+63x-26=0 | | 5x^2+24-48=0 | | 27x^2-30x-25=0 | | -2=11+62 | | -3m+2(2+2m)=-10 | | 5(3a-4)-4a=11(a-6)-7 | | 32--(5-6)= | | 4(x-3)=2(x)+8 | | -15y-8=52 | | 4w^2+20w+21=0 | | -6p+7=-5 | | -7(1-3x)=182 | | 7(6x-2)=-392 | | -5m-4+-3=13 | | 3z+6=27-4z | | 9(3z-1)=21+21 | | 8x+2=2x+14 | | 2x/5+3-4x/5-=1/5 | | 7(x+2)+58=-2x | | 4u^2-3u-4=0 | | 8y=5xfory | | 7x-4=8x+4 | | 7x-5+3x=7-4x-12 | | 65x+90=1000 | | 0=0.875(j-60) | | -2x^2+6x=56 | | 12(x-4)=8x-20 | | 2.5x-40=x-10 | | 7m=-4+5m |