If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + -27w + -126 = 0 Reorder the terms: -126 + -27w + w2 = 0 Solving -126 + -27w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '126' to each side of the equation. -126 + -27w + 126 + w2 = 0 + 126 Reorder the terms: -126 + 126 + -27w + w2 = 0 + 126 Combine like terms: -126 + 126 = 0 0 + -27w + w2 = 0 + 126 -27w + w2 = 0 + 126 Combine like terms: 0 + 126 = 126 -27w + w2 = 126 The w term is -27w. Take half its coefficient (-13.5). Square it (182.25) and add it to both sides. Add '182.25' to each side of the equation. -27w + 182.25 + w2 = 126 + 182.25 Reorder the terms: 182.25 + -27w + w2 = 126 + 182.25 Combine like terms: 126 + 182.25 = 308.25 182.25 + -27w + w2 = 308.25 Factor a perfect square on the left side: (w + -13.5)(w + -13.5) = 308.25 Calculate the square root of the right side: 17.557049866 Break this problem into two subproblems by setting (w + -13.5) equal to 17.557049866 and -17.557049866.Subproblem 1
w + -13.5 = 17.557049866 Simplifying w + -13.5 = 17.557049866 Reorder the terms: -13.5 + w = 17.557049866 Solving -13.5 + w = 17.557049866 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13.5' to each side of the equation. -13.5 + 13.5 + w = 17.557049866 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + w = 17.557049866 + 13.5 w = 17.557049866 + 13.5 Combine like terms: 17.557049866 + 13.5 = 31.057049866 w = 31.057049866 Simplifying w = 31.057049866Subproblem 2
w + -13.5 = -17.557049866 Simplifying w + -13.5 = -17.557049866 Reorder the terms: -13.5 + w = -17.557049866 Solving -13.5 + w = -17.557049866 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13.5' to each side of the equation. -13.5 + 13.5 + w = -17.557049866 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + w = -17.557049866 + 13.5 w = -17.557049866 + 13.5 Combine like terms: -17.557049866 + 13.5 = -4.057049866 w = -4.057049866 Simplifying w = -4.057049866Solution
The solution to the problem is based on the solutions from the subproblems. w = {31.057049866, -4.057049866}
| (5x)(11x)=(8x)(7x-4) | | x^2-(k+2)x+3k=0 | | 6(6+p)=48 | | 8x^2+58x-120=0 | | 1000(1+0.03)8= | | A+8=4a-19 | | 4=10y-x | | -2y+2x=-4 | | 1/2*4/7= | | 1/2*4-5= | | 2x^2+16=-6x | | w^2-33w-216=0 | | 6m+2=3m+14 | | 2(3x)=-12+-12 | | 1-4x=4x-1 | | (a+4b)= | | 2y^2+2y=1300 | | 5x+5=5x+14 | | 2x-5+x+7+x-6=40 | | 2/5x-7/10=3/10 | | 3(2x+10)+7x-8=2(2x+6)+31 | | x^2-2=8 | | 0.65=.7b-.49c | | 2d^2-12d+18=0 | | 5k-4=3k-6+2k | | yz=8 | | 78x+2x=54 | | -90=-6x+6-18x | | -5(7x-1/2)=485/2 | | 2x-5=-3(x-6) | | 12-4x=3x-2 | | 2(y+3)=3(y-4) |