If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4w2 + 21w + -21 = 0 Reorder the terms: -21 + 21w + 4w2 = 0 Solving -21 + 21w + 4w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -5.25 + 5.25w + w2 = 0 Move the constant term to the right: Add '5.25' to each side of the equation. -5.25 + 5.25w + 5.25 + w2 = 0 + 5.25 Reorder the terms: -5.25 + 5.25 + 5.25w + w2 = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + 5.25w + w2 = 0 + 5.25 5.25w + w2 = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 5.25w + w2 = 5.25 The w term is 5.25w. Take half its coefficient (2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. 5.25w + 6.890625 + w2 = 5.25 + 6.890625 Reorder the terms: 6.890625 + 5.25w + w2 = 5.25 + 6.890625 Combine like terms: 5.25 + 6.890625 = 12.140625 6.890625 + 5.25w + w2 = 12.140625 Factor a perfect square on the left side: (w + 2.625)(w + 2.625) = 12.140625 Calculate the square root of the right side: 3.484339966 Break this problem into two subproblems by setting (w + 2.625) equal to 3.484339966 and -3.484339966.Subproblem 1
w + 2.625 = 3.484339966 Simplifying w + 2.625 = 3.484339966 Reorder the terms: 2.625 + w = 3.484339966 Solving 2.625 + w = 3.484339966 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.625' to each side of the equation. 2.625 + -2.625 + w = 3.484339966 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + w = 3.484339966 + -2.625 w = 3.484339966 + -2.625 Combine like terms: 3.484339966 + -2.625 = 0.859339966 w = 0.859339966 Simplifying w = 0.859339966Subproblem 2
w + 2.625 = -3.484339966 Simplifying w + 2.625 = -3.484339966 Reorder the terms: 2.625 + w = -3.484339966 Solving 2.625 + w = -3.484339966 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.625' to each side of the equation. 2.625 + -2.625 + w = -3.484339966 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + w = -3.484339966 + -2.625 w = -3.484339966 + -2.625 Combine like terms: -3.484339966 + -2.625 = -6.109339966 w = -6.109339966 Simplifying w = -6.109339966Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.859339966, -6.109339966}
| 6x-83=-47 | | 55(2x-1)=25 | | 4(y+5)=100 | | 273-7p=42 | | X+x+3+4= | | 58=-3n+-32 | | 0.3-7=11+0.2 | | 5x+4=7x-96 | | 4y+12+6y=24y-8+[-2y] | | 7v+6=5v+16 | | 5x+2y=117 | | 76=4x-8 | | 2x-10y+7=0 | | 35=11y+2 | | .5(6x-3)=.5(6+6x) | | -(7x+10)-10=-8(4+x) | | 2(c+6)=3G-6g | | x=3x-40 | | 7b=10b+18 | | 6(-10p-3)-8p=6(-12p-3)-4 | | v^2-4v-37=2 | | 24x-3(2x-5)=51 | | 73-x=86-2x | | (2x^2-3xy^2-y^2)-(3x^2-xy^2)= | | F(X)=20(0.9)x^6 | | 6m+9+7x-2= | | 9.25x=5.75x+40 | | 8w-12=(-4) | | -10+6m-m=-1+3m+5m | | 74t+28t-101t+16=89 | | 3n-6=3-5n-n | | 5+7-9-8=11 |