If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 37w2 + -312w + -192924 = 0 Reorder the terms: -192924 + -312w + 37w2 = 0 Solving -192924 + -312w + 37w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 37 the coefficient of the squared term: Divide each side by '37'. -5214.162162 + -8.432432432w + w2 = 0 Move the constant term to the right: Add '5214.162162' to each side of the equation. -5214.162162 + -8.432432432w + 5214.162162 + w2 = 0 + 5214.162162 Reorder the terms: -5214.162162 + 5214.162162 + -8.432432432w + w2 = 0 + 5214.162162 Combine like terms: -5214.162162 + 5214.162162 = 0.000000 0.000000 + -8.432432432w + w2 = 0 + 5214.162162 -8.432432432w + w2 = 0 + 5214.162162 Combine like terms: 0 + 5214.162162 = 5214.162162 -8.432432432w + w2 = 5214.162162 The w term is -8.432432432w. Take half its coefficient (-4.216216216). Square it (17.77647918) and add it to both sides. Add '17.77647918' to each side of the equation. -8.432432432w + 17.77647918 + w2 = 5214.162162 + 17.77647918 Reorder the terms: 17.77647918 + -8.432432432w + w2 = 5214.162162 + 17.77647918 Combine like terms: 5214.162162 + 17.77647918 = 5231.93864118 17.77647918 + -8.432432432w + w2 = 5231.93864118 Factor a perfect square on the left side: (w + -4.216216216)(w + -4.216216216) = 5231.93864118 Calculate the square root of the right side: 72.332141135 Break this problem into two subproblems by setting (w + -4.216216216) equal to 72.332141135 and -72.332141135.Subproblem 1
w + -4.216216216 = 72.332141135 Simplifying w + -4.216216216 = 72.332141135 Reorder the terms: -4.216216216 + w = 72.332141135 Solving -4.216216216 + w = 72.332141135 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4.216216216' to each side of the equation. -4.216216216 + 4.216216216 + w = 72.332141135 + 4.216216216 Combine like terms: -4.216216216 + 4.216216216 = 0.000000000 0.000000000 + w = 72.332141135 + 4.216216216 w = 72.332141135 + 4.216216216 Combine like terms: 72.332141135 + 4.216216216 = 76.548357351 w = 76.548357351 Simplifying w = 76.548357351Subproblem 2
w + -4.216216216 = -72.332141135 Simplifying w + -4.216216216 = -72.332141135 Reorder the terms: -4.216216216 + w = -72.332141135 Solving -4.216216216 + w = -72.332141135 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4.216216216' to each side of the equation. -4.216216216 + 4.216216216 + w = -72.332141135 + 4.216216216 Combine like terms: -4.216216216 + 4.216216216 = 0.000000000 0.000000000 + w = -72.332141135 + 4.216216216 w = -72.332141135 + 4.216216216 Combine like terms: -72.332141135 + 4.216216216 = -68.115924919 w = -68.115924919 Simplifying w = -68.115924919Solution
The solution to the problem is based on the solutions from the subproblems. w = {76.548357351, -68.115924919}
| (82.4-52)3/5=x | | -5X+13=-3X+7 | | (84.4-52)3/5=x | | z+72=8 | | 21X-39=13X-23 | | -11X-85=-6X-45 | | 6X-43=3X-22 | | 12X+134=6X+80 | | 3ln(x)+8=ln(3x)+12 | | 4psquared-12p+7=0 | | 45logx=3 | | 10X+36=6X+20 | | 34-9k=88 | | -5X-40=-3X-26 | | 2x^2-25x+80=0 | | -(3w+4)+5(w-2)-3(6w-8)=1 | | (x+35)=(3x+5) | | 10x^2+9x-117=0 | | 3x+8=4x-10 | | 10x^2+9x-108=0 | | -2x^2+54x=0 | | 6(y-6)/10(y-6) | | H(5x)=3x^2+2 | | 2x^2+52x=0 | | 25x+16y=287.28 | | 2x^2+18x+162=0 | | -2(2x-4x)=6+18 | | 4=2k+22 | | (9y^2-8y+8)-(3y^2-8y+2)= | | -8b+3+6b=3b+8 | | x*1.618=60 | | 5y-8=-28 |