If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + 18w + 36 = 68121 Reorder the terms: 36 + 18w + 2w2 = 68121 Solving 36 + 18w + 2w2 = 68121 Solving for variable 'w'. Reorder the terms: 36 + -68121 + 18w + 2w2 = 68121 + -68121 Combine like terms: 36 + -68121 = -68085 -68085 + 18w + 2w2 = 68121 + -68121 Combine like terms: 68121 + -68121 = 0 -68085 + 18w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -34042.5 + 9w + w2 = 0 Move the constant term to the right: Add '34042.5' to each side of the equation. -34042.5 + 9w + 34042.5 + w2 = 0 + 34042.5 Reorder the terms: -34042.5 + 34042.5 + 9w + w2 = 0 + 34042.5 Combine like terms: -34042.5 + 34042.5 = 0.0 0.0 + 9w + w2 = 0 + 34042.5 9w + w2 = 0 + 34042.5 Combine like terms: 0 + 34042.5 = 34042.5 9w + w2 = 34042.5 The w term is 9w. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9w + 20.25 + w2 = 34042.5 + 20.25 Reorder the terms: 20.25 + 9w + w2 = 34042.5 + 20.25 Combine like terms: 34042.5 + 20.25 = 34062.75 20.25 + 9w + w2 = 34062.75 Factor a perfect square on the left side: (w + 4.5)(w + 4.5) = 34062.75 Calculate the square root of the right side: 184.560965537 Break this problem into two subproblems by setting (w + 4.5) equal to 184.560965537 and -184.560965537.Subproblem 1
w + 4.5 = 184.560965537 Simplifying w + 4.5 = 184.560965537 Reorder the terms: 4.5 + w = 184.560965537 Solving 4.5 + w = 184.560965537 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + w = 184.560965537 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + w = 184.560965537 + -4.5 w = 184.560965537 + -4.5 Combine like terms: 184.560965537 + -4.5 = 180.060965537 w = 180.060965537 Simplifying w = 180.060965537Subproblem 2
w + 4.5 = -184.560965537 Simplifying w + 4.5 = -184.560965537 Reorder the terms: 4.5 + w = -184.560965537 Solving 4.5 + w = -184.560965537 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + w = -184.560965537 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + w = -184.560965537 + -4.5 w = -184.560965537 + -4.5 Combine like terms: -184.560965537 + -4.5 = -189.060965537 w = -189.060965537 Simplifying w = -189.060965537Solution
The solution to the problem is based on the solutions from the subproblems. w = {180.060965537, -189.060965537}
| 4b^2-9b-9= | | -5(2x-8)+6=4x-32 | | 3(5z-1)+5(3z+2)=7 | | 15x-7=20x+12 | | 4x^2+2y-24x+40=0 | | 2x^3+x-5=0 | | 2w^2+18w+36=261 | | -2y(3y-6)+4(5y-8)=92 | | -(3x^2-3x+3)= | | r^3+8t^3= | | 3(5-2q)= | | 2-2x=64 | | 2(2-x)=3(x+8) | | x^2+32x+256= | | 0.1x-0.12=0.4x+0.03 | | -3x^2+13x-10=0 | | 12x+8=-28 | | y^4+7y^3-10y^2-70y= | | (x+5)5=13x+8 | | -50x^2-55x+30= | | 4-7+2-7= | | x^2+10xy+25y^2= | | -5x^2+22x+48= | | 3x^3+6x^2-45x= | | 4-2(y+6)=11-3y | | -3.5-3x-5.3-x=-3x-1.1 | | 3x^7-12x^6-96x^5= | | 4(x+3)+(6-x)=0 | | 10x^2-5x-20= | | 15+2x-x^2= | | 4(3+x)=3(5+x) | | 2x^3+4x^2-3x-6= |