If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4j2 + -8j + 1 = 0 Reorder the terms: 1 + -8j + -4j2 = 0 Solving 1 + -8j + -4j2 = 0 Solving for variable 'j'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -0.25 + 2j + j2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + 2j + 0.25 + j2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + 2j + j2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 2j + j2 = 0 + 0.25 2j + j2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 2j + j2 = 0.25 The j term is 2j. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2j + 1 + j2 = 0.25 + 1 Reorder the terms: 1 + 2j + j2 = 0.25 + 1 Combine like terms: 0.25 + 1 = 1.25 1 + 2j + j2 = 1.25 Factor a perfect square on the left side: (j + 1)(j + 1) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (j + 1) equal to 1.118033989 and -1.118033989.Subproblem 1
j + 1 = 1.118033989 Simplifying j + 1 = 1.118033989 Reorder the terms: 1 + j = 1.118033989 Solving 1 + j = 1.118033989 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + j = 1.118033989 + -1 Combine like terms: 1 + -1 = 0 0 + j = 1.118033989 + -1 j = 1.118033989 + -1 Combine like terms: 1.118033989 + -1 = 0.118033989 j = 0.118033989 Simplifying j = 0.118033989Subproblem 2
j + 1 = -1.118033989 Simplifying j + 1 = -1.118033989 Reorder the terms: 1 + j = -1.118033989 Solving 1 + j = -1.118033989 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + j = -1.118033989 + -1 Combine like terms: 1 + -1 = 0 0 + j = -1.118033989 + -1 j = -1.118033989 + -1 Combine like terms: -1.118033989 + -1 = -2.118033989 j = -2.118033989 Simplifying j = -2.118033989Solution
The solution to the problem is based on the solutions from the subproblems. j = {0.118033989, -2.118033989}
| 6b+5b=-6 | | 4-(3x+8)=10 | | 12a-11a=9 | | 1=4.5-2x+3.3x | | -x^2+32x+9=8x+32 | | (3+2y)(5-Y-5y^2)= | | 2x^2+x-120=0 | | 8h-h=14 | | -5+5=-2-6b+7b | | x^2+34-273=0 | | 0.08(y-9)+0.18y=0.02y-0.03(30) | | h=2t^2-8t+60 | | 3x(9x)+3x(6)=18(20x)+18(4) | | 4(37x-60)=-98x+86 | | 20x-75=-41x+38 | | 250+350=x | | 11=5x+4-6x | | a=(4x+8)(2x+3) | | 11x-4=12(x+1) | | 2(3x-8)=-7x+4 | | 6x-4=-8x+2 | | 6(x+8)+5=53 | | 16=6x+10x | | -2+12x=-34 | | 3(4x-6)=-8x+8 | | 5x+8(8)=0 | | 35-5y=35 | | 10(x^2)+10(4x)+10(4)=40x+80 | | 8(x-1)=7x+3 | | K-16=-99 | | (-9p)(-10+3p)+7p(-9+3p)= | | 9x-5=-5x+10 |