If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4w + -8) + -1(w2 + -9w + 3) = 0 Reorder the terms: (-8 + 4w) + -1(w2 + -9w + 3) = 0 Remove parenthesis around (-8 + 4w) -8 + 4w + -1(w2 + -9w + 3) = 0 Reorder the terms: -8 + 4w + -1(3 + -9w + w2) = 0 -8 + 4w + (3 * -1 + -9w * -1 + w2 * -1) = 0 -8 + 4w + (-3 + 9w + -1w2) = 0 Reorder the terms: -8 + -3 + 4w + 9w + -1w2 = 0 Combine like terms: -8 + -3 = -11 -11 + 4w + 9w + -1w2 = 0 Combine like terms: 4w + 9w = 13w -11 + 13w + -1w2 = 0 Solving -11 + 13w + -1w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 11 + -13w + w2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + -13w + -11 + w2 = 0 + -11 Reorder the terms: 11 + -11 + -13w + w2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -13w + w2 = 0 + -11 -13w + w2 = 0 + -11 Combine like terms: 0 + -11 = -11 -13w + w2 = -11 The w term is -13w. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13w + 42.25 + w2 = -11 + 42.25 Reorder the terms: 42.25 + -13w + w2 = -11 + 42.25 Combine like terms: -11 + 42.25 = 31.25 42.25 + -13w + w2 = 31.25 Factor a perfect square on the left side: (w + -6.5)(w + -6.5) = 31.25 Calculate the square root of the right side: 5.590169944 Break this problem into two subproblems by setting (w + -6.5) equal to 5.590169944 and -5.590169944.Subproblem 1
w + -6.5 = 5.590169944 Simplifying w + -6.5 = 5.590169944 Reorder the terms: -6.5 + w = 5.590169944 Solving -6.5 + w = 5.590169944 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + w = 5.590169944 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + w = 5.590169944 + 6.5 w = 5.590169944 + 6.5 Combine like terms: 5.590169944 + 6.5 = 12.090169944 w = 12.090169944 Simplifying w = 12.090169944Subproblem 2
w + -6.5 = -5.590169944 Simplifying w + -6.5 = -5.590169944 Reorder the terms: -6.5 + w = -5.590169944 Solving -6.5 + w = -5.590169944 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + w = -5.590169944 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + w = -5.590169944 + 6.5 w = -5.590169944 + 6.5 Combine like terms: -5.590169944 + 6.5 = 0.909830056 w = 0.909830056 Simplifying w = 0.909830056Solution
The solution to the problem is based on the solutions from the subproblems. w = {12.090169944, 0.909830056}
| 9x+1=8x+3 | | Y=10+1 | | 6(3x-8)=9x+2 | | 12x+2=-4 | | -8n+4(1+n)=-2-2n | | -8-4=-2+n-6-8n | | -2x+9=2-3x | | 6f+7=8f-13 | | 20-3y=24 | | 22-5(6v-1)=-3 | | y^2-3y+1=0 | | 5-3x+5x=29 | | 5=z+15 | | .05*a+7.50=.08*a | | 5y+2=78 | | 11+3(3y+6)= | | 14=5x+x-10 | | w+73=152 | | 10x+6=7x+6 | | 152=w+73 | | x-3(x+1)-2(x-1)=3 | | 6y+27=3(y-42) | | 9x-8x-48=2x-84 | | -3+2x-6x=-31 | | -19=28-k/16 | | 2t+9=7t | | -14=2x+x-5 | | Q^2+10Q+22=0 | | -4(x+6)=-4 | | 3+9x=x-10x | | 4c+(c-2)=-34 | | 2x^2-20x=288 |