If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4w2 + -4w + 1 = 75 Reorder the terms: 1 + -4w + 4w2 = 75 Solving 1 + -4w + 4w2 = 75 Solving for variable 'w'. Reorder the terms: 1 + -75 + -4w + 4w2 = 75 + -75 Combine like terms: 1 + -75 = -74 -74 + -4w + 4w2 = 75 + -75 Combine like terms: 75 + -75 = 0 -74 + -4w + 4w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-37 + -2w + 2w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-37 + -2w + 2w2)' equal to zero and attempt to solve: Simplifying -37 + -2w + 2w2 = 0 Solving -37 + -2w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -18.5 + -1w + w2 = 0 Move the constant term to the right: Add '18.5' to each side of the equation. -18.5 + -1w + 18.5 + w2 = 0 + 18.5 Reorder the terms: -18.5 + 18.5 + -1w + w2 = 0 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + -1w + w2 = 0 + 18.5 -1w + w2 = 0 + 18.5 Combine like terms: 0 + 18.5 = 18.5 -1w + w2 = 18.5 The w term is -1w. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1w + 0.25 + w2 = 18.5 + 0.25 Reorder the terms: 0.25 + -1w + w2 = 18.5 + 0.25 Combine like terms: 18.5 + 0.25 = 18.75 0.25 + -1w + w2 = 18.75 Factor a perfect square on the left side: (w + -0.5)(w + -0.5) = 18.75 Calculate the square root of the right side: 4.330127019 Break this problem into two subproblems by setting (w + -0.5) equal to 4.330127019 and -4.330127019.Subproblem 1
w + -0.5 = 4.330127019 Simplifying w + -0.5 = 4.330127019 Reorder the terms: -0.5 + w = 4.330127019 Solving -0.5 + w = 4.330127019 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = 4.330127019 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = 4.330127019 + 0.5 w = 4.330127019 + 0.5 Combine like terms: 4.330127019 + 0.5 = 4.830127019 w = 4.830127019 Simplifying w = 4.830127019Subproblem 2
w + -0.5 = -4.330127019 Simplifying w + -0.5 = -4.330127019 Reorder the terms: -0.5 + w = -4.330127019 Solving -0.5 + w = -4.330127019 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = -4.330127019 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = -4.330127019 + 0.5 w = -4.330127019 + 0.5 Combine like terms: -4.330127019 + 0.5 = -3.830127019 w = -3.830127019 Simplifying w = -3.830127019Solution
The solution to the problem is based on the solutions from the subproblems. w = {4.830127019, -3.830127019}Solution
w = {4.830127019, -3.830127019}
| 90+3x+25-10=180 | | -8z=-32 | | f(x)=-8x^2-32X-17 | | 2+y-y=2(y+1) | | 4(m+3)-30m=66 | | 5x+8=6x+7 | | 2(f-2)=18 | | 3t+8=68 | | 3t+8=88 | | 2(x+10)+2(6x-4)=54 | | 8+2(x+3)+7x=10 | | 3zs+21=21 | | 8(x+3)=3(2x-4) | | 3+s+t=5 | | x+y=2(x-1) | | 4t+64=-128 | | 3x+2(8x-6)=26 | | ax+9=4x+b | | v^2=-12v-7v | | 7n-5n=61-51 | | 10-7x+2x=60 | | 107x+2x=60 | | 3+T=17-6T | | 8.00+0.80x=18.40 | | x=1.166666667*1.07 | | 2(7-13)=y-7 | | 3.5(8x+5)-2(5.5x+1.5)= | | (L+1)(w+2)= | | 4d-30=10 | | 3.8=2.5-0.3y | | -16x^2-40x+9=9 | | -4+6+m=-1+8 |