If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4w2 + -31w + -21 = 0 Reorder the terms: -21 + -31w + 4w2 = 0 Solving -21 + -31w + 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 + -7.75w + w2 = 0 Move the constant term to the right: Add '5.25' to each side of the equation. -5.25 + -7.75w + 5.25 + w2 = 0 + 5.25 Reorder the terms: -5.25 + 5.25 + -7.75w + w2 = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + -7.75w + w2 = 0 + 5.25 -7.75w + w2 = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 -7.75w + w2 = 5.25 The w term is -7.75w. Take half its coefficient (-3.875). Square it (15.015625) and add it to both sides. Add '15.015625' to each side of the equation. -7.75w + 15.015625 + w2 = 5.25 + 15.015625 Reorder the terms: 15.015625 + -7.75w + w2 = 5.25 + 15.015625 Combine like terms: 5.25 + 15.015625 = 20.265625 15.015625 + -7.75w + w2 = 20.265625 Factor a perfect square on the left side: (w + -3.875)(w + -3.875) = 20.265625 Calculate the square root of the right side: 4.501735776 Break this problem into two subproblems by setting (w + -3.875) equal to 4.501735776 and -4.501735776.Subproblem 1
w + -3.875 = 4.501735776 Simplifying w + -3.875 = 4.501735776 Reorder the terms: -3.875 + w = 4.501735776 Solving -3.875 + w = 4.501735776 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3.875' to each side of the equation. -3.875 + 3.875 + w = 4.501735776 + 3.875 Combine like terms: -3.875 + 3.875 = 0.000 0.000 + w = 4.501735776 + 3.875 w = 4.501735776 + 3.875 Combine like terms: 4.501735776 + 3.875 = 8.376735776 w = 8.376735776 Simplifying w = 8.376735776Subproblem 2
w + -3.875 = -4.501735776 Simplifying w + -3.875 = -4.501735776 Reorder the terms: -3.875 + w = -4.501735776 Solving -3.875 + w = -4.501735776 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3.875' to each side of the equation. -3.875 + 3.875 + w = -4.501735776 + 3.875 Combine like terms: -3.875 + 3.875 = 0.000 0.000 + w = -4.501735776 + 3.875 w = -4.501735776 + 3.875 Combine like terms: -4.501735776 + 3.875 = -0.626735776 w = -0.626735776 Simplifying w = -0.626735776Solution
The solution to the problem is based on the solutions from the subproblems. w = {8.376735776, -0.626735776}
| 5-3(4x-5)=17 | | x-3y=9forx | | 12-(5m+8)=2+4m-16 | | .7=5t | | 2x^2-27x=-5x^2-9x-8 | | 12r=72 | | 3sin^2x+5sinx+2=0 | | [x-(1+i)][x-(1-i)]=0 | | 19=9x+11 | | -x^3+2x^2+19x-20=0 | | C-y=bx | | 4(-4x+15)+y=9 | | -8x+2=3+10+30x | | x+26+134=180 | | 6x-7+4x-2=4x+3-x+2 | | -25=2x-10 | | 6(x)+6(x)+30+30+x(5)+x(5)=6(5)(x) | | 8+2(x-8)=8-7(x-8) | | 4x+15-4x=9 | | 5y-8=42 | | 0=3x^2-x+6 | | -2x+7y=23 | | 4sec^2(4x)= | | 19=x+11 | | X-10=y+5 | | 3+4y=55 | | x^2+16+5(x+4)+6=0 | | 4x^2+40=-56 | | 16x-7x=46 | | u^4+u^2v^2+v^4=0 | | d=0.5a*t^2 | | X+2x+7=5x+15+6x |