If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2w + 15)(2w + 10) = 250 Reorder the terms: (15 + 2w)(2w + 10) = 250 Reorder the terms: (15 + 2w)(10 + 2w) = 250 Multiply (15 + 2w) * (10 + 2w) (15(10 + 2w) + 2w * (10 + 2w)) = 250 ((10 * 15 + 2w * 15) + 2w * (10 + 2w)) = 250 ((150 + 30w) + 2w * (10 + 2w)) = 250 (150 + 30w + (10 * 2w + 2w * 2w)) = 250 (150 + 30w + (20w + 4w2)) = 250 Combine like terms: 30w + 20w = 50w (150 + 50w + 4w2) = 250 Solving 150 + 50w + 4w2 = 250 Solving for variable 'w'. Reorder the terms: 150 + -250 + 50w + 4w2 = 250 + -250 Combine like terms: 150 + -250 = -100 -100 + 50w + 4w2 = 250 + -250 Combine like terms: 250 + -250 = 0 -100 + 50w + 4w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-50 + 25w + 2w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + 25w + 2w2)' equal to zero and attempt to solve: Simplifying -50 + 25w + 2w2 = 0 Solving -50 + 25w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -25 + 12.5w + w2 = 0 Move the constant term to the right: Add '25' to each side of the equation. -25 + 12.5w + 25 + w2 = 0 + 25 Reorder the terms: -25 + 25 + 12.5w + w2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 12.5w + w2 = 0 + 25 12.5w + w2 = 0 + 25 Combine like terms: 0 + 25 = 25 12.5w + w2 = 25 The w term is 12.5w. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5w + 39.0625 + w2 = 25 + 39.0625 Reorder the terms: 39.0625 + 12.5w + w2 = 25 + 39.0625 Combine like terms: 25 + 39.0625 = 64.0625 39.0625 + 12.5w + w2 = 64.0625 Factor a perfect square on the left side: (w + 6.25)(w + 6.25) = 64.0625 Calculate the square root of the right side: 8.003905297 Break this problem into two subproblems by setting (w + 6.25) equal to 8.003905297 and -8.003905297.Subproblem 1
w + 6.25 = 8.003905297 Simplifying w + 6.25 = 8.003905297 Reorder the terms: 6.25 + w = 8.003905297 Solving 6.25 + w = 8.003905297 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + w = 8.003905297 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + w = 8.003905297 + -6.25 w = 8.003905297 + -6.25 Combine like terms: 8.003905297 + -6.25 = 1.753905297 w = 1.753905297 Simplifying w = 1.753905297Subproblem 2
w + 6.25 = -8.003905297 Simplifying w + 6.25 = -8.003905297 Reorder the terms: 6.25 + w = -8.003905297 Solving 6.25 + w = -8.003905297 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + w = -8.003905297 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + w = -8.003905297 + -6.25 w = -8.003905297 + -6.25 Combine like terms: -8.003905297 + -6.25 = -14.253905297 w = -14.253905297 Simplifying w = -14.253905297Solution
The solution to the problem is based on the solutions from the subproblems. w = {1.753905297, -14.253905297}Solution
w = {1.753905297, -14.253905297}
| x(2x+1)=10 | | -8-8n=1-5n | | 20x-10x-5y+5y=15 | | 11x-3=4(3x-4) | | 68=4LW+2wh | | -11+8n=n-4 | | s^2+35=0 | | 3x+22=12x-7 | | 0.5r+6=3-3r | | 3v+8=8+2v+1v | | 6x^2-18x+13=0 | | 3x=2x+p | | 2s^2=s+6 | | -4m-13m= | | 9(a+14)+8(b-16)=0 | | r^2+15=-8r | | 0.333333333+0.666666667m=0.666666667m-0.666666667 | | 4+4p=4p+7-1 | | 8x^2-512=0 | | 5*(3+2x)+80=2*(5x-1) | | 14-9x=54-44x | | -6(y+8)=-6y+12 | | 21x+4x-8x= | | 14-9x=54-4x | | 3(y+4)+3=24 | | 7.9y+8.4-2.04y=0 | | 7(2x+4)=2-(30-x) | | 1=lnx | | 11x^2-x=0 | | 2(6x-12)=3(4x-8) | | 3.09(j+4.6)=0 | | 5*(3+2x)+8=2*(5x+1) |