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 + 81 = 0 Reorder the terms: 81 + -27w + w2 = 0 Solving 81 + -27w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + -27w + -81 + w2 = 0 + -81 Reorder the terms: 81 + -81 + -27w + w2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -27w + w2 = 0 + -81 -27w + w2 = 0 + -81 Combine like terms: 0 + -81 = -81 -27w + w2 = -81 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 = -81 + 182.25 Reorder the terms: 182.25 + -27w + w2 = -81 + 182.25 Combine like terms: -81 + 182.25 = 101.25 182.25 + -27w + w2 = 101.25 Factor a perfect square on the left side: (w + -13.5)(w + -13.5) = 101.25 Calculate the square root of the right side: 10.062305899 Break this problem into two subproblems by setting (w + -13.5) equal to 10.062305899 and -10.062305899.Subproblem 1
w + -13.5 = 10.062305899 Simplifying w + -13.5 = 10.062305899 Reorder the terms: -13.5 + w = 10.062305899 Solving -13.5 + w = 10.062305899 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 = 10.062305899 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + w = 10.062305899 + 13.5 w = 10.062305899 + 13.5 Combine like terms: 10.062305899 + 13.5 = 23.562305899 w = 23.562305899 Simplifying w = 23.562305899Subproblem 2
w + -13.5 = -10.062305899 Simplifying w + -13.5 = -10.062305899 Reorder the terms: -13.5 + w = -10.062305899 Solving -13.5 + w = -10.062305899 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 = -10.062305899 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + w = -10.062305899 + 13.5 w = -10.062305899 + 13.5 Combine like terms: -10.062305899 + 13.5 = 3.437694101 w = 3.437694101 Simplifying w = 3.437694101Solution
The solution to the problem is based on the solutions from the subproblems. w = {23.562305899, 3.437694101}
| 3x^2+7x=-7 | | w^2+4w+16= | | 9z^2+6z+1= | | 4x^2-20x-24=0 | | 64-16w+w^2= | | w^2-20w-100= | | 3n+7=13 | | 3e(0.1x)-2e(0.2x)=0 | | 14x-17=10x-9 | | B=3(7a+2)+5-21a | | y^2+14y+49= | | 9x^2-12x-4= | | t^2+20t+100= | | 6y=30+15x | | 9x+25=5x+125 | | 67-7x=11x+23 | | 9-9x=125-37x | | -48-9x=7x+16 | | 6x+8=-76-8x | | 117-5x=3x+5 | | 8+5x=20+x | | 5x+28=13x-60 | | 7x-5=10x-11 | | 2x^2+9x+20.25=38.25 | | -3x+5+6(x+1)=2x+3 | | 2(x-4)=10+5x | | 6x-(x+8)=-53 | | 2(3x+4)+6(x-8)=32 | | .3x+.7y=5.3 | | .3x+.7*4=5.3 | | -3x+2xy+4y-xy+2x-11y= | | (328.62)-(98.6)= |