If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + -3w + -108 = 0 Reorder the terms: -108 + -3w + 2w2 = 0 Solving -108 + -3w + 2w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -54 + -1.5w + w2 = 0 Move the constant term to the right: Add '54' to each side of the equation. -54 + -1.5w + 54 + w2 = 0 + 54 Reorder the terms: -54 + 54 + -1.5w + w2 = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -1.5w + w2 = 0 + 54 -1.5w + w2 = 0 + 54 Combine like terms: 0 + 54 = 54 -1.5w + w2 = 54 The w term is -1.5w. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5w + 0.5625 + w2 = 54 + 0.5625 Reorder the terms: 0.5625 + -1.5w + w2 = 54 + 0.5625 Combine like terms: 54 + 0.5625 = 54.5625 0.5625 + -1.5w + w2 = 54.5625 Factor a perfect square on the left side: (w + -0.75)(w + -0.75) = 54.5625 Calculate the square root of the right side: 7.386643351 Break this problem into two subproblems by setting (w + -0.75) equal to 7.386643351 and -7.386643351.Subproblem 1
w + -0.75 = 7.386643351 Simplifying w + -0.75 = 7.386643351 Reorder the terms: -0.75 + w = 7.386643351 Solving -0.75 + w = 7.386643351 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + w = 7.386643351 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + w = 7.386643351 + 0.75 w = 7.386643351 + 0.75 Combine like terms: 7.386643351 + 0.75 = 8.136643351 w = 8.136643351 Simplifying w = 8.136643351Subproblem 2
w + -0.75 = -7.386643351 Simplifying w + -0.75 = -7.386643351 Reorder the terms: -0.75 + w = -7.386643351 Solving -0.75 + w = -7.386643351 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + w = -7.386643351 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + w = -7.386643351 + 0.75 w = -7.386643351 + 0.75 Combine like terms: -7.386643351 + 0.75 = -6.636643351 w = -6.636643351 Simplifying w = -6.636643351Solution
The solution to the problem is based on the solutions from the subproblems. w = {8.136643351, -6.636643351}
| -3(x+7)=7(x+2)-5 | | 3x-(2x+5)=10+6(x-1) | | 38+7k=8(1k+4) | | 6(4x-1)-6=-3x+3(4x-5) | | 5(2x-2)-26=-8 | | 2x+5-10x=40 | | 3(5x-2)+5=7x-12 | | -5(x-7)=3(x+6)-7 | | 2x-(x-2)=10+6(x-1) | | 2x-10=7x-40 | | -5-7*2= | | 6/n-3/4 | | 2kx^2+kx+2=0 | | 150+25h=h | | -1/2(4x-6)+2x-7 | | 4(-8x+6)=-32x-26 | | -16t+1156=0 | | 1/5(10x-1)=3 | | 6y-4y+11=5 | | (10x-1)=3 | | 0=4x^3/(x^4+27) | | 15-d=3-15 | | 4(3x+5)+2x=6x-36 | | 9x+4x+264=24x | | 5+8f=7f | | 6x-4/9x-1=2x+5/3x+10 | | 20x^3+33x^2+7x=0 | | 3[x+2]-2[2x-4]=28 | | W+4x-3y+x+5y= | | 12h+8u-9u-11h= | | 10/2x+5-6/3x-1=0 | | -7=-3x+7 |