If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + 3w + -114 = 0 Reorder the terms: -114 + 3w + w2 = 0 Solving -114 + 3w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '114' to each side of the equation. -114 + 3w + 114 + w2 = 0 + 114 Reorder the terms: -114 + 114 + 3w + w2 = 0 + 114 Combine like terms: -114 + 114 = 0 0 + 3w + w2 = 0 + 114 3w + w2 = 0 + 114 Combine like terms: 0 + 114 = 114 3w + w2 = 114 The w term is 3w. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3w + 2.25 + w2 = 114 + 2.25 Reorder the terms: 2.25 + 3w + w2 = 114 + 2.25 Combine like terms: 114 + 2.25 = 116.25 2.25 + 3w + w2 = 116.25 Factor a perfect square on the left side: (w + 1.5)(w + 1.5) = 116.25 Calculate the square root of the right side: 10.781929326 Break this problem into two subproblems by setting (w + 1.5) equal to 10.781929326 and -10.781929326.Subproblem 1
w + 1.5 = 10.781929326 Simplifying w + 1.5 = 10.781929326 Reorder the terms: 1.5 + w = 10.781929326 Solving 1.5 + w = 10.781929326 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + w = 10.781929326 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + w = 10.781929326 + -1.5 w = 10.781929326 + -1.5 Combine like terms: 10.781929326 + -1.5 = 9.281929326 w = 9.281929326 Simplifying w = 9.281929326Subproblem 2
w + 1.5 = -10.781929326 Simplifying w + 1.5 = -10.781929326 Reorder the terms: 1.5 + w = -10.781929326 Solving 1.5 + w = -10.781929326 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + w = -10.781929326 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + w = -10.781929326 + -1.5 w = -10.781929326 + -1.5 Combine like terms: -10.781929326 + -1.5 = -12.281929326 w = -12.281929326 Simplifying w = -12.281929326Solution
The solution to the problem is based on the solutions from the subproblems. w = {9.281929326, -12.281929326}
| .5*x=50 | | 8y+2(y-8)=4(y+1)-3 | | -3c-4=-40 | | 4x^2-9x=6 | | 4x(x+9)=0 | | (6k+5)-(2k-1)= | | 2x^2=-5x-3 | | 4(3+3x)=-3(2-5x) | | .2x=31 | | 1/5x=2/7 | | 3/4=9x | | -7m/10=21 | | 15x=18+12x | | 5/8y=-1 | | 5a/8=25 | | .4x=18 | | -20m^4n^-10/4m^-4n^-5 | | 3y/7=6 | | m/5=10 | | 2r/7=12 | | 5xm=35 | | 6(t-6)+8t=7(2t+4)-10 | | 8y+3(y-3)=5(y+1)-3 | | X-11=y | | 5x+1=-26+2x | | 2y/524 | | 3x/5=-12 | | 18/s=3 | | -a/1=8 | | -2y-17=5y+18 | | 1=8x+b | | X/6-2=x/6 |