If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying j2 + 4j + -1 = 0 Reorder the terms: -1 + 4j + j2 = 0 Solving -1 + 4j + j2 = 0 Solving for variable 'j'. Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + 4j + 1 + j2 = 0 + 1 Reorder the terms: -1 + 1 + 4j + j2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4j + j2 = 0 + 1 4j + j2 = 0 + 1 Combine like terms: 0 + 1 = 1 4j + j2 = 1 The j term is 4j. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4j + 4 + j2 = 1 + 4 Reorder the terms: 4 + 4j + j2 = 1 + 4 Combine like terms: 1 + 4 = 5 4 + 4j + j2 = 5 Factor a perfect square on the left side: (j + 2)(j + 2) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (j + 2) equal to 2.236067978 and -2.236067978.Subproblem 1
j + 2 = 2.236067978 Simplifying j + 2 = 2.236067978 Reorder the terms: 2 + j = 2.236067978 Solving 2 + j = 2.236067978 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + j = 2.236067978 + -2 Combine like terms: 2 + -2 = 0 0 + j = 2.236067978 + -2 j = 2.236067978 + -2 Combine like terms: 2.236067978 + -2 = 0.236067978 j = 0.236067978 Simplifying j = 0.236067978Subproblem 2
j + 2 = -2.236067978 Simplifying j + 2 = -2.236067978 Reorder the terms: 2 + j = -2.236067978 Solving 2 + j = -2.236067978 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + j = -2.236067978 + -2 Combine like terms: 2 + -2 = 0 0 + j = -2.236067978 + -2 j = -2.236067978 + -2 Combine like terms: -2.236067978 + -2 = -4.236067978 j = -4.236067978 Simplifying j = -4.236067978Solution
The solution to the problem is based on the solutions from the subproblems. j = {0.236067978, -4.236067978}
| u^2+20u=-19 | | 6x+47=2x+23 | | 3800/255 | | g^2+16g+17=0 | | 3b-2.3=15.7 | | (7*-2*-2)-(3*-2)-x=35 | | 4s+7.25=12.85 | | h^2+14h=9 | | b-118=4b-4 | | v=1/3(3.14)6^2(9) | | 2(x-1)-(x+1)=1 | | d^2-18d+29=0 | | q-256=-5q-8 | | d^2-18s+29=0 | | q^2+4q=5 | | -5x-5=5*(x-1) | | -u+-5=2.9 | | 180=42+2x+x | | 30-3x=60-23x | | 4x-(2+2x)=16 | | 698.4=(77.6)a | | 65-4= | | 4=d-6 | | 4=4+z | | 2u-2v=3 | | 340=7q-101 | | -1=5+2w | | 4(3x-1)=8x | | -4g-8=g-229 | | f^2-22f=3 | | 6x-11=29-x | | 7k^2-35k+24=-4 |