If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 210 = w2 + 3w Reorder the terms: 210 = 3w + w2 Solving 210 = 3w + w2 Solving for variable 'w'. Reorder the terms: 210 + -3w + -1w2 = 3w + -3w + w2 + -1w2 Combine like terms: 3w + -3w = 0 210 + -3w + -1w2 = 0 + w2 + -1w2 210 + -3w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 210 + -3w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -210 + 3w + w2 = 0 Move the constant term to the right: Add '210' to each side of the equation. -210 + 3w + 210 + w2 = 0 + 210 Reorder the terms: -210 + 210 + 3w + w2 = 0 + 210 Combine like terms: -210 + 210 = 0 0 + 3w + w2 = 0 + 210 3w + w2 = 0 + 210 Combine like terms: 0 + 210 = 210 3w + w2 = 210 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 = 210 + 2.25 Reorder the terms: 2.25 + 3w + w2 = 210 + 2.25 Combine like terms: 210 + 2.25 = 212.25 2.25 + 3w + w2 = 212.25 Factor a perfect square on the left side: (w + 1.5)(w + 1.5) = 212.25 Calculate the square root of the right side: 14.568802284 Break this problem into two subproblems by setting (w + 1.5) equal to 14.568802284 and -14.568802284.Subproblem 1
w + 1.5 = 14.568802284 Simplifying w + 1.5 = 14.568802284 Reorder the terms: 1.5 + w = 14.568802284 Solving 1.5 + w = 14.568802284 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 = 14.568802284 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + w = 14.568802284 + -1.5 w = 14.568802284 + -1.5 Combine like terms: 14.568802284 + -1.5 = 13.068802284 w = 13.068802284 Simplifying w = 13.068802284Subproblem 2
w + 1.5 = -14.568802284 Simplifying w + 1.5 = -14.568802284 Reorder the terms: 1.5 + w = -14.568802284 Solving 1.5 + w = -14.568802284 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 = -14.568802284 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + w = -14.568802284 + -1.5 w = -14.568802284 + -1.5 Combine like terms: -14.568802284 + -1.5 = -16.068802284 w = -16.068802284 Simplifying w = -16.068802284Solution
The solution to the problem is based on the solutions from the subproblems. w = {13.068802284, -16.068802284}
| 36+21=6t-2 | | 10x+5=x+14 | | 7[x]2=0 | | 1+80x=8 | | h=384t-32t^2 | | (2x-5)+2=13 | | 7n+6=8 | | 8y-9x=-56 | | -3(2+r)+11=21 | | 5x-7+x=-36-13 | | -6+16=-2x | | -3.1s=-19.22 | | -8-7x+12x+17=36 | | 4(c+5)=44 | | -2x+19=7x+7 | | -12x-17=-88 | | 2x=7.6 | | 4(x+2)-0.5x=22 | | c=37.09+0.50x | | -13+2m=5(1+4m) | | -4x+12+10x=36 | | 2+4y=22 | | 6x=7x+21 | | x-445.71=122.26 | | 1960+x(175.75)=4420.50 | | 6+(3*a)=4-(5*a) | | (2x-8)+(1+4x)=0 | | 44=-x-5x+2 | | 19=x-2(x+3) | | 8.6x=154.8 | | 4(x+7)=5x | | 12m^2-13m-35=0 |