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 = 0.626735776 w = 0.626735776 Simplifying w = 0.626735776Subproblem 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 = -8.376735776 w = -8.376735776 Simplifying w = -8.376735776Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.626735776, -8.376735776}
| j(j+3)=28 | | -2x(9x-5x+4x)= | | 4x+20+xy+5y=0 | | 16s-25s^3= | | -1-10n^2=-149 | | 9/y=8/11 | | 1/2(x-1)+2=3(2x-1) | | c=x+0.07x+0.10x | | -64+b^2= | | 5x^2+3x^2=8 | | x^3-8x^2+5x-40=0 | | w/-4-7=-9 | | Q=50-5P+200 | | 4(3x+4)=5(x-2)-17 | | 32y^2+84y+49= | | 6x-15+1= | | (2+x)(1-x)= | | y-2/-5=8 | | 20x^3-60x^2=0 | | 9(4x+5)=8(x+3)-5 | | 2b^2+8d+8= | | 4k^2+17k+18=0 | | -21m-14=103 | | -3x+20=-4 | | (x^4/x^6)^2 | | 5+6x=-2x+9-11x | | 4(2z+4)=4z+32 | | w=-0.1(6724)+1312+8200 | | 3y^2+1-2y^2+36=0 | | 10p-44=6 | | 12b^2-13bt-35t^2= | | (x^4/x^6) |