If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + 12w + 22 = 0 Reorder the terms: 22 + 12w + w2 = 0 Solving 22 + 12w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 12w + -22 + w2 = 0 + -22 Reorder the terms: 22 + -22 + 12w + w2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 12w + w2 = 0 + -22 12w + w2 = 0 + -22 Combine like terms: 0 + -22 = -22 12w + w2 = -22 The w term is 12w. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12w + 36 + w2 = -22 + 36 Reorder the terms: 36 + 12w + w2 = -22 + 36 Combine like terms: -22 + 36 = 14 36 + 12w + w2 = 14 Factor a perfect square on the left side: (w + 6)(w + 6) = 14 Calculate the square root of the right side: 3.741657387 Break this problem into two subproblems by setting (w + 6) equal to 3.741657387 and -3.741657387.Subproblem 1
w + 6 = 3.741657387 Simplifying w + 6 = 3.741657387 Reorder the terms: 6 + w = 3.741657387 Solving 6 + w = 3.741657387 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = 3.741657387 + -6 Combine like terms: 6 + -6 = 0 0 + w = 3.741657387 + -6 w = 3.741657387 + -6 Combine like terms: 3.741657387 + -6 = -2.258342613 w = -2.258342613 Simplifying w = -2.258342613Subproblem 2
w + 6 = -3.741657387 Simplifying w + 6 = -3.741657387 Reorder the terms: 6 + w = -3.741657387 Solving 6 + w = -3.741657387 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = -3.741657387 + -6 Combine like terms: 6 + -6 = 0 0 + w = -3.741657387 + -6 w = -3.741657387 + -6 Combine like terms: -3.741657387 + -6 = -9.741657387 w = -9.741657387 Simplifying w = -9.741657387Solution
The solution to the problem is based on the solutions from the subproblems. w = {-2.258342613, -9.741657387}
| 3(x-1)+9=8x+6-5x | | 2x-3=(2x+3)+9 | | 8x+1=7x+54 | | x+(x+3+5)=38 | | w^2=-27-12w | | -20xy+25x^2+4y^2=0 | | (2x+5)+(x+9)= | | 2x-3=2x+3+9 | | x+3x+5x=38 | | 3a+2x=4 | | 6-5(3x-4)=-4 | | y^2-6y=16x+71 | | 2(6-7k)=2k-4 | | 7x+5=14x+3 | | -5(x+5)-(-6x+3)=-9 | | 11-6m+20=20-5m | | 2x-4(x+2)=-2x-8 | | 3y-4+y+24=8y+20-6y | | 4(2p+7)-5(p-1)=12 | | x+x+1=121 | | 9y(2+4)=5(5+2) | | 3/2(3x+5)=-24 | | 5x+22=(-4)+6 | | 21+16x+80=37x+17 | | .15x=40+.05x | | 17x+9=13x-15 | | 17x+7y=11 | | 3x^2-16xy+5y^2=0 | | -15+2x+x^2=0 | | 20r=5 | | 8x^2+23=0 | | -2(t-6)-(t+1)=6 |