If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1w2 + 2w + -312 = 0 Reorder the terms: -312 + 2w + 1w2 = 0 Solving -312 + 2w + 1w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '312' to each side of the equation. -312 + 2w + 312 + w2 = 0 + 312 Reorder the terms: -312 + 312 + 2w + w2 = 0 + 312 Combine like terms: -312 + 312 = 0 0 + 2w + w2 = 0 + 312 2w + w2 = 0 + 312 Combine like terms: 0 + 312 = 312 2w + w2 = 312 The w term is 2w. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2w + 1 + w2 = 312 + 1 Reorder the terms: 1 + 2w + w2 = 312 + 1 Combine like terms: 312 + 1 = 313 1 + 2w + w2 = 313 Factor a perfect square on the left side: (w + 1)(w + 1) = 313 Calculate the square root of the right side: 17.691806013 Break this problem into two subproblems by setting (w + 1) equal to 17.691806013 and -17.691806013.Subproblem 1
w + 1 = 17.691806013 Simplifying w + 1 = 17.691806013 Reorder the terms: 1 + w = 17.691806013 Solving 1 + w = 17.691806013 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 17.691806013 + -1 Combine like terms: 1 + -1 = 0 0 + w = 17.691806013 + -1 w = 17.691806013 + -1 Combine like terms: 17.691806013 + -1 = 16.691806013 w = 16.691806013 Simplifying w = 16.691806013Subproblem 2
w + 1 = -17.691806013 Simplifying w + 1 = -17.691806013 Reorder the terms: 1 + w = -17.691806013 Solving 1 + w = -17.691806013 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = -17.691806013 + -1 Combine like terms: 1 + -1 = 0 0 + w = -17.691806013 + -1 w = -17.691806013 + -1 Combine like terms: -17.691806013 + -1 = -18.691806013 w = -18.691806013 Simplifying w = -18.691806013Solution
The solution to the problem is based on the solutions from the subproblems. w = {16.691806013, -18.691806013}
| 4r^2=25 | | 6+5x+5x=56 | | 7t+15=3t-13 | | 3x=x-22 | | 5x+10+x=28 | | -4k-5=3 | | x^2-9=-16 | | 7+2x+7x=61 | | (a-1)(a+1)=0 | | x^5+5x^3=36x | | 94=7x+2x+4 | | c^2+25=25 | | 13=4x+2x+7 | | 6y=k-24 | | (2m+5)(6m-1)= | | m^2-225=0 | | (s+3)(s+3)=64 | | x^2+306=-35 | | 9x^2-81x+162=0 | | 2y^2+4y-6=0 | | z^2-2.5z=0 | | 4x=k+198 | | 3x-21x=4 | | z^4-25=0 | | h(x)=0.75x+8 | | 0.33x^2-2x+3=0 | | g(x)=1.25x | | h(x)=3x+6 | | 182=13x | | g(x)=8x-2 | | 3x-5x=60 | | (x+4)(x+3)-x(x-2)=48 |