If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5j2 + -5j + -2 = 0 Reorder the terms: -2 + -5j + 5j2 = 0 Solving -2 + -5j + 5j2 = 0 Solving for variable 'j'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.4 + -1j + j2 = 0 Move the constant term to the right: Add '0.4' to each side of the equation. -0.4 + -1j + 0.4 + j2 = 0 + 0.4 Reorder the terms: -0.4 + 0.4 + -1j + j2 = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -1j + j2 = 0 + 0.4 -1j + j2 = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 -1j + j2 = 0.4 The j term is -1j. 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. -1j + 0.25 + j2 = 0.4 + 0.25 Reorder the terms: 0.25 + -1j + j2 = 0.4 + 0.25 Combine like terms: 0.4 + 0.25 = 0.65 0.25 + -1j + j2 = 0.65 Factor a perfect square on the left side: (j + -0.5)(j + -0.5) = 0.65 Calculate the square root of the right side: 0.806225775 Break this problem into two subproblems by setting (j + -0.5) equal to 0.806225775 and -0.806225775.Subproblem 1
j + -0.5 = 0.806225775 Simplifying j + -0.5 = 0.806225775 Reorder the terms: -0.5 + j = 0.806225775 Solving -0.5 + j = 0.806225775 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + j = 0.806225775 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + j = 0.806225775 + 0.5 j = 0.806225775 + 0.5 Combine like terms: 0.806225775 + 0.5 = 1.306225775 j = 1.306225775 Simplifying j = 1.306225775Subproblem 2
j + -0.5 = -0.806225775 Simplifying j + -0.5 = -0.806225775 Reorder the terms: -0.5 + j = -0.806225775 Solving -0.5 + j = -0.806225775 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + j = -0.806225775 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + j = -0.806225775 + 0.5 j = -0.806225775 + 0.5 Combine like terms: -0.806225775 + 0.5 = -0.306225775 j = -0.306225775 Simplifying j = -0.306225775Solution
The solution to the problem is based on the solutions from the subproblems. j = {1.306225775, -0.306225775}
| 5-4t=3t-23 | | .88x=30.80 | | -5X+3=-X+3 | | 5f^2+7f-4=0 | | 4x+14+2x=12-3x-8 | | 5X+3=-X+3 | | 55000/12 | | 8g^2-g-3=0 | | -30y+9=100y+100 | | -9w^2+2w+6=0 | | 9w^2+2w+6=0 | | 30=r-2/3 | | -18t-9=18t+9 | | 7z^2-9=0 | | 0.1374x+5.54=94.23 | | 5v^2-8v+3=0 | | 4q^2-3q=0 | | 5z^2+5z-8=0 | | 94-5x=13x+18 | | y=-21.4x-10 | | 5x=603y | | 4p^2+9p+4=0 | | 13-11x-17=5x+4-10x | | y=-21/4x-10 | | .08x+x=4860 | | f^2+9f=0 | | 8s^2+9s-5=0 | | 88=348+4x/8 | | 2r^2-r-1=0 | | 1/5y+5=-17 | | 14x-136=6x-8 | | 10p+11=5p-4 |