If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4w(w + 5) = 7 Reorder the terms: 4w(5 + w) = 7 (5 * 4w + w * 4w) = 7 (20w + 4w2) = 7 Solving 20w + 4w2 = 7 Solving for variable 'w'. Reorder the terms: -7 + 20w + 4w2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 20w + 4w2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.75 + 5w + w2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + 5w + 1.75 + w2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + 5w + w2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + 5w + w2 = 0 + 1.75 5w + w2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 5w + w2 = 1.75 The w term is 5w. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5w + 6.25 + w2 = 1.75 + 6.25 Reorder the terms: 6.25 + 5w + w2 = 1.75 + 6.25 Combine like terms: 1.75 + 6.25 = 8 6.25 + 5w + w2 = 8 Factor a perfect square on the left side: (w + 2.5)(w + 2.5) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (w + 2.5) equal to 2.828427125 and -2.828427125.Subproblem 1
w + 2.5 = 2.828427125 Simplifying w + 2.5 = 2.828427125 Reorder the terms: 2.5 + w = 2.828427125 Solving 2.5 + w = 2.828427125 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + w = 2.828427125 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + w = 2.828427125 + -2.5 w = 2.828427125 + -2.5 Combine like terms: 2.828427125 + -2.5 = 0.328427125 w = 0.328427125 Simplifying w = 0.328427125Subproblem 2
w + 2.5 = -2.828427125 Simplifying w + 2.5 = -2.828427125 Reorder the terms: 2.5 + w = -2.828427125 Solving 2.5 + w = -2.828427125 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + w = -2.828427125 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + w = -2.828427125 + -2.5 w = -2.828427125 + -2.5 Combine like terms: -2.828427125 + -2.5 = -5.328427125 w = -5.328427125 Simplifying w = -5.328427125Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.328427125, -5.328427125}
| 3=2x+19 | | 16t^2+112+-192=0 | | 3x^3-17x^2-6=0 | | 9y=5y+8 | | 12y-24=4y | | 192=112t-16t^2 | | -6x-2y=12 | | 2(x-5)2-3=21 | | 3-x=-18+6x | | Y=-5x^2+30x-13 | | 2x+3ix+3iy=5x+2-iy-3i | | 20x^2-2x=0 | | 1-2inx=-4 | | 7x+8=x+16 | | 11b-6b+3=-7 | | 13a-6=5a+2 | | 1.4+(-2.3)= | | 12k^2-7k-12=0 | | 6x+(-9)=-21 | | y(n)=0.25y(n-1)+x(n) | | 6x+(-7)=-21 | | 7x-4=43-5x | | y=0.5(0.5) | | x=12+4y | | (5r+7)(r-3)=-(23r-69) | | (x+24)(x+24)=100x | | y(n)=0.5y(n-1)-0.06y(n-2)+x(n) | | -3x-1=2x+14 | | (x+14)(x-11)=-84 | | 8+5=566 | | 300x=50x^2 | | .08r-.04=-.32r^2 |