If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.0283 = w(1 + -0.59w) 0.0283 = (1 * w + -0.59w * w) 0.0283 = (1w + -0.59w2) Solving 0.0283 = 1w + -0.59w2 Solving for variable 'w'. Reorder the terms: 0.0283 + -1w + 0.59w2 = 1w + -1w + -0.59w2 + 0.59w2 Combine like terms: 1w + -1w = 0 0.0283 + -1w + 0.59w2 = 0 + -0.59w2 + 0.59w2 0.0283 + -1w + 0.59w2 = -0.59w2 + 0.59w2 Combine like terms: -0.59w2 + 0.59w2 = 0.00 0.0283 + -1w + 0.59w2 = 0.00 Begin completing the square. Divide all terms by 0.59 the coefficient of the squared term: Divide each side by '0.59'. 0.04796610169 + -1.694915254w + w2 = 0 Move the constant term to the right: Add '-0.04796610169' to each side of the equation. 0.04796610169 + -1.694915254w + -0.04796610169 + w2 = 0 + -0.04796610169 Reorder the terms: 0.04796610169 + -0.04796610169 + -1.694915254w + w2 = 0 + -0.04796610169 Combine like terms: 0.04796610169 + -0.04796610169 = 0.00000000000 0.00000000000 + -1.694915254w + w2 = 0 + -0.04796610169 -1.694915254w + w2 = 0 + -0.04796610169 Combine like terms: 0 + -0.04796610169 = -0.04796610169 -1.694915254w + w2 = -0.04796610169 The w term is -1.694915254w. Take half its coefficient (-0.847457627). Square it (0.7181844296) and add it to both sides. Add '0.7181844296' to each side of the equation. -1.694915254w + 0.7181844296 + w2 = -0.04796610169 + 0.7181844296 Reorder the terms: 0.7181844296 + -1.694915254w + w2 = -0.04796610169 + 0.7181844296 Combine like terms: -0.04796610169 + 0.7181844296 = 0.67021832791 0.7181844296 + -1.694915254w + w2 = 0.67021832791 Factor a perfect square on the left side: (w + -0.847457627)(w + -0.847457627) = 0.67021832791 Calculate the square root of the right side: 0.818668631 Break this problem into two subproblems by setting (w + -0.847457627) equal to 0.818668631 and -0.818668631.Subproblem 1
w + -0.847457627 = 0.818668631 Simplifying w + -0.847457627 = 0.818668631 Reorder the terms: -0.847457627 + w = 0.818668631 Solving -0.847457627 + w = 0.818668631 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.847457627' to each side of the equation. -0.847457627 + 0.847457627 + w = 0.818668631 + 0.847457627 Combine like terms: -0.847457627 + 0.847457627 = 0.000000000 0.000000000 + w = 0.818668631 + 0.847457627 w = 0.818668631 + 0.847457627 Combine like terms: 0.818668631 + 0.847457627 = 1.666126258 w = 1.666126258 Simplifying w = 1.666126258Subproblem 2
w + -0.847457627 = -0.818668631 Simplifying w + -0.847457627 = -0.818668631 Reorder the terms: -0.847457627 + w = -0.818668631 Solving -0.847457627 + w = -0.818668631 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.847457627' to each side of the equation. -0.847457627 + 0.847457627 + w = -0.818668631 + 0.847457627 Combine like terms: -0.847457627 + 0.847457627 = 0.000000000 0.000000000 + w = -0.818668631 + 0.847457627 w = -0.818668631 + 0.847457627 Combine like terms: -0.818668631 + 0.847457627 = 0.028788996 w = 0.028788996 Simplifying w = 0.028788996Solution
The solution to the problem is based on the solutions from the subproblems. w = {1.666126258, 0.028788996}
| -5(3n+2)=30 | | 950(1-x)=800 | | -32+9x=7x+18 | | 3x-8y+2z=11 | | iz^2-z=0 | | 47=33-2(x-2) | | h^2+15=15h | | 2x+13=-12-3x | | b^2+6b-35=-8 | | -49=4.9c | | 2t^2+5t-63=63 | | 5x-8x+16=4x+30 | | (7x-3)-(3x+5)= | | m^2+16m+43=-5 | | -56+3x=56-x | | 0.2(x+60)-0.05(x-10)=21.5 | | f(-3)=4(-3)+4 | | P(x)=8x^3+2x^2-14x+5 | | -21+3x=37+x | | x^2+18x+42=-3 | | 10(z+1)-2(z-4)=4(z-3)+3(z-4) | | 6y=-3x+24 | | 2x+2(4x-6)=38 | | 12x^2-16x+144=0 | | 4(5x-6)+5c=26 | | 3m-21=-6 | | 2x-77=-12x+175 | | 3+11x=-7+3 | | 6x+7(x+6)=172 | | 2x+y=3y=x-3 | | -3x-59=117-11x | | 3j+7= |