If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 168 = 2w2 + 10w + 14 Reorder the terms: 168 = 14 + 10w + 2w2 Solving 168 = 14 + 10w + 2w2 Solving for variable 'w'. Combine like terms: 168 + -14 = 154 154 + -10w + -2w2 = 14 + 10w + 2w2 + -14 + -10w + -2w2 Reorder the terms: 154 + -10w + -2w2 = 14 + -14 + 10w + -10w + 2w2 + -2w2 Combine like terms: 14 + -14 = 0 154 + -10w + -2w2 = 0 + 10w + -10w + 2w2 + -2w2 154 + -10w + -2w2 = 10w + -10w + 2w2 + -2w2 Combine like terms: 10w + -10w = 0 154 + -10w + -2w2 = 0 + 2w2 + -2w2 154 + -10w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 154 + -10w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(77 + -5w + -1w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(77 + -5w + -1w2)' equal to zero and attempt to solve: Simplifying 77 + -5w + -1w2 = 0 Solving 77 + -5w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -77 + 5w + w2 = 0 Move the constant term to the right: Add '77' to each side of the equation. -77 + 5w + 77 + w2 = 0 + 77 Reorder the terms: -77 + 77 + 5w + w2 = 0 + 77 Combine like terms: -77 + 77 = 0 0 + 5w + w2 = 0 + 77 5w + w2 = 0 + 77 Combine like terms: 0 + 77 = 77 5w + w2 = 77 The w term is 5w. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5w + 6.25 + w2 = 77 + 6.25 Reorder the terms: 6.25 + 5w + w2 = 77 + 6.25 Combine like terms: 77 + 6.25 = 83.25 6.25 + 5w + w2 = 83.25 Factor a perfect square on the left side: (w + 2.5)(w + 2.5) = 83.25 Calculate the square root of the right side: 9.124143795 Break this problem into two subproblems by setting (w + 2.5) equal to 9.124143795 and -9.124143795.Subproblem 1
w + 2.5 = 9.124143795 Simplifying w + 2.5 = 9.124143795 Reorder the terms: 2.5 + w = 9.124143795 Solving 2.5 + w = 9.124143795 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + w = 9.124143795 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + w = 9.124143795 + -2.5 w = 9.124143795 + -2.5 Combine like terms: 9.124143795 + -2.5 = 6.624143795 w = 6.624143795 Simplifying w = 6.624143795Subproblem 2
w + 2.5 = -9.124143795 Simplifying w + 2.5 = -9.124143795 Reorder the terms: 2.5 + w = -9.124143795 Solving 2.5 + w = -9.124143795 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + w = -9.124143795 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + w = -9.124143795 + -2.5 w = -9.124143795 + -2.5 Combine like terms: -9.124143795 + -2.5 = -11.624143795 w = -11.624143795 Simplifying w = -11.624143795Solution
The solution to the problem is based on the solutions from the subproblems. w = {6.624143795, -11.624143795}Solution
w = {6.624143795, -11.624143795}
| x+3.2-5.4=4.8 | | 3+4a=9-2a | | 6-9x=9x+21 | | 12(h-2)=-12 | | 5-3t=4t+19 | | 7(a+4)=-14 | | -7/3x-7 | | 4(x+2)-3x=15 | | 4x-4y=7-1 | | A=Q(1+rt) | | 18/7=54/x | | 5(a+1)=10a | | x+3.2-6.5=8.3 | | 4=2m-5m | | 9-4[3-2(3-5)]= | | 2-3x^25= | | 8/p+10=4/9 | | -5+7(X-2)=13X+5-6X | | 6m-7m=-3 | | 6x+20=7x+13 | | -10(-3b)=-180 | | V=Bak | | 40-11x=14x | | (5x-1)(2x+6)= | | 1.4q-4.3-5.2q=4.8q-3.8 | | -10(-36)=-180 | | 9t(2x)=2-(3x) | | 3/x+1=9/3 | | x+(x+30)+(2x-50)=180 | | 3.5v+8=12.5-v | | 2x+34-22= | | 9+(2x)=2-(3x) |