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 + -55 = 0 Reorder the terms: -55 + 5w + 2w2 = 0 Solving -55 + 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'. -27.5 + 2.5w + w2 = 0 Move the constant term to the right: Add '27.5' to each side of the equation. -27.5 + 2.5w + 27.5 + w2 = 0 + 27.5 Reorder the terms: -27.5 + 27.5 + 2.5w + w2 = 0 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + 2.5w + w2 = 0 + 27.5 2.5w + w2 = 0 + 27.5 Combine like terms: 0 + 27.5 = 27.5 2.5w + w2 = 27.5 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 = 27.5 + 1.5625 Reorder the terms: 1.5625 + 2.5w + w2 = 27.5 + 1.5625 Combine like terms: 27.5 + 1.5625 = 29.0625 1.5625 + 2.5w + w2 = 29.0625 Factor a perfect square on the left side: (w + 1.25)(w + 1.25) = 29.0625 Calculate the square root of the right side: 5.390964663 Break this problem into two subproblems by setting (w + 1.25) equal to 5.390964663 and -5.390964663.Subproblem 1
w + 1.25 = 5.390964663 Simplifying w + 1.25 = 5.390964663 Reorder the terms: 1.25 + w = 5.390964663 Solving 1.25 + w = 5.390964663 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 = 5.390964663 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + w = 5.390964663 + -1.25 w = 5.390964663 + -1.25 Combine like terms: 5.390964663 + -1.25 = 4.140964663 w = 4.140964663 Simplifying w = 4.140964663Subproblem 2
w + 1.25 = -5.390964663 Simplifying w + 1.25 = -5.390964663 Reorder the terms: 1.25 + w = -5.390964663 Solving 1.25 + w = -5.390964663 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 = -5.390964663 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + w = -5.390964663 + -1.25 w = -5.390964663 + -1.25 Combine like terms: -5.390964663 + -1.25 = -6.640964663 w = -6.640964663 Simplifying w = -6.640964663Solution
The solution to the problem is based on the solutions from the subproblems. w = {4.140964663, -6.640964663}
| z^2+(4-4i)z+(8-2i)=0 | | 3(2x+6)=2(4x-15) | | 23*2y+1= | | 2x*x+8x-1=0 | | 9x-64=x+22 | | -3(4x-8)=-108 | | 8x+54=15-5x | | f(x)=5x^4-28x^2+15 | | 2y=45-7y | | 5W^2/9W^6Y^4 | | 2y+1*23= | | 9w=9+6w | | -2x-py+2p=0 | | 12x-3+x=5x-4+8y | | 4v+1=11v-6 | | 18+2y+y=2y*y | | 4(1+7x)=-276 | | 7-3(2x-1)=22 | | 7v+5=12v-5 | | z^4-z^3+2z^2-4z-8=0 | | 5(x^2+5)=100 | | -2r^2+5r-11=0 | | 1/t^-5 | | 4e^3x=1940 | | f(x)=-x^3-8x^2-17x-10 | | 2r^2=-11+5r | | 3p-5=p-7 | | -6(-4w+4)-5w=4(w-7)-6 | | b-1=2+1 | | -6(x-2)+4(3-6x)=-56 | | 2x^9+4x^3+90=0 | | b/8=a |