If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + -14w + 46 = 0 Reorder the terms: 46 + -14w + w2 = 0 Solving 46 + -14w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-46' to each side of the equation. 46 + -14w + -46 + w2 = 0 + -46 Reorder the terms: 46 + -46 + -14w + w2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -14w + w2 = 0 + -46 -14w + w2 = 0 + -46 Combine like terms: 0 + -46 = -46 -14w + w2 = -46 The w term is -14w. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14w + 49 + w2 = -46 + 49 Reorder the terms: 49 + -14w + w2 = -46 + 49 Combine like terms: -46 + 49 = 3 49 + -14w + w2 = 3 Factor a perfect square on the left side: (w + -7)(w + -7) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (w + -7) equal to 1.732050808 and -1.732050808.Subproblem 1
w + -7 = 1.732050808 Simplifying w + -7 = 1.732050808 Reorder the terms: -7 + w = 1.732050808 Solving -7 + w = 1.732050808 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w = 1.732050808 + 7 Combine like terms: -7 + 7 = 0 0 + w = 1.732050808 + 7 w = 1.732050808 + 7 Combine like terms: 1.732050808 + 7 = 8.732050808 w = 8.732050808 Simplifying w = 8.732050808Subproblem 2
w + -7 = -1.732050808 Simplifying w + -7 = -1.732050808 Reorder the terms: -7 + w = -1.732050808 Solving -7 + w = -1.732050808 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w = -1.732050808 + 7 Combine like terms: -7 + 7 = 0 0 + w = -1.732050808 + 7 w = -1.732050808 + 7 Combine like terms: -1.732050808 + 7 = 5.267949192 w = 5.267949192 Simplifying w = 5.267949192Solution
The solution to the problem is based on the solutions from the subproblems. w = {8.732050808, 5.267949192}
| 4x^2-3x-13=0 | | p^2+14p+49=0 | | x+(x+1)+(x+2)=30 | | 6x+14=84-4x | | x=6y+12 | | -2(y-8)=6(6-y)-4 | | 0.8x-8=4x | | 16-6(-3p+4)=-2 | | 5x-3+9=-26-8 | | 6x^2+14x=3x+7 | | 2a+(45-6a)=17 | | 2+11x=112+x | | 5-x=-96 | | 84-5x=13x+16 | | 4x+34=13x-38 | | 7-x=-12 | | 8-8x=45-15x | | -14=4y+2 | | 1730-270x=1055 | | 8x-26=4x+2 | | 5x+9=99-5x | | 3p-14=(-4p) | | 8n+4=60 | | -44-3x=5-10x | | 6n-15=39 | | 2x-8=-76 | | 6m=13+5m | | 6x-9=-93 | | 11x-21=6x+4 | | 8x-18=70 | | -0.6x^2+5.1x+2=0 | | 3n+3=9 |