If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + -4w + -170 = 0 Reorder the terms: -170 + -4w + 2w2 = 0 Solving -170 + -4w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-85 + -2w + w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-85 + -2w + w2)' equal to zero and attempt to solve: Simplifying -85 + -2w + w2 = 0 Solving -85 + -2w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '85' to each side of the equation. -85 + -2w + 85 + w2 = 0 + 85 Reorder the terms: -85 + 85 + -2w + w2 = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -2w + w2 = 0 + 85 -2w + w2 = 0 + 85 Combine like terms: 0 + 85 = 85 -2w + w2 = 85 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = 85 + 1 Reorder the terms: 1 + -2w + w2 = 85 + 1 Combine like terms: 85 + 1 = 86 1 + -2w + w2 = 86 Factor a perfect square on the left side: (w + -1)(w + -1) = 86 Calculate the square root of the right side: 9.273618495 Break this problem into two subproblems by setting (w + -1) equal to 9.273618495 and -9.273618495.Subproblem 1
w + -1 = 9.273618495 Simplifying w + -1 = 9.273618495 Reorder the terms: -1 + w = 9.273618495 Solving -1 + w = 9.273618495 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + w = 9.273618495 + 1 Combine like terms: -1 + 1 = 0 0 + w = 9.273618495 + 1 w = 9.273618495 + 1 Combine like terms: 9.273618495 + 1 = 10.273618495 w = 10.273618495 Simplifying w = 10.273618495Subproblem 2
w + -1 = -9.273618495 Simplifying w + -1 = -9.273618495 Reorder the terms: -1 + w = -9.273618495 Solving -1 + w = -9.273618495 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + w = -9.273618495 + 1 Combine like terms: -1 + 1 = 0 0 + w = -9.273618495 + 1 w = -9.273618495 + 1 Combine like terms: -9.273618495 + 1 = -8.273618495 w = -8.273618495 Simplifying w = -8.273618495Solution
The solution to the problem is based on the solutions from the subproblems. w = {10.273618495, -8.273618495}Solution
w = {10.273618495, -8.273618495}
| 100=5(2x+9) | | x+x^2-6x-6=0 | | -8a-4=2a+3 | | 8x-6-2x=3(2x-4)+6 | | x+32=5x-12 | | -3(7p+5)-2(2-17p)=3(8+4p) | | 5c+60=11c | | 2x+10-6x=2 | | 3x-[2-(x-1)]=5x | | 5x^2+6x+11=0 | | 7-2x+7x=47 | | 5x+10y=40 | | 2y^2+7y+3=0 | | -18=-18z | | 2n+3=13 | | w*2+3w-5=0 | | 12x+8=10x+-5 | | 3x+10-7x=0 | | N(x)=-0.3x^2+6.6x+14 | | ln(x^2-16)-ln(x+4)= | | 22p+11=2q+4 | | -0.3x^2+6.6x+14=0 | | v+4y-2y+5y= | | 3x+8=2(x-5) | | b(3b+11)=4 | | 4x-5+3x=65 | | -x^2-2x+15= | | y^2+16=0 | | -2p+8=5-(7p+1) | | 12y+45-2x= | | 4(3x+2)=5(2x-1) | | -6-5x+6x=14 |