If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (12 + 17i) + -1(5 + -6i)(5 + 6i) = 0 Remove parenthesis around (12 + 17i) 12 + 17i + -1(5 + -6i)(5 + 6i) = 0 Multiply (5 + -6i) * (5 + 6i) 12 + 17i + -1(5(5 + 6i) + -6i * (5 + 6i)) = 0 12 + 17i + -1((5 * 5 + 6i * 5) + -6i * (5 + 6i)) = 0 12 + 17i + -1((25 + 30i) + -6i * (5 + 6i)) = 0 12 + 17i + -1(25 + 30i + (5 * -6i + 6i * -6i)) = 0 12 + 17i + -1(25 + 30i + (-30i + -36i2)) = 0 Combine like terms: 30i + -30i = 0 12 + 17i + -1(25 + 0 + -36i2) = 0 12 + 17i + -1(25 + -36i2) = 0 12 + 17i + (25 * -1 + -36i2 * -1) = 0 12 + 17i + (-25 + 36i2) = 0 Reorder the terms: 12 + -25 + 17i + 36i2 = 0 Combine like terms: 12 + -25 = -13 -13 + 17i + 36i2 = 0 Solving -13 + 17i + 36i2 = 0 Solving for variable 'i'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. -0.3611111111 + 0.4722222222i + i2 = 0 Move the constant term to the right: Add '0.3611111111' to each side of the equation. -0.3611111111 + 0.4722222222i + 0.3611111111 + i2 = 0 + 0.3611111111 Reorder the terms: -0.3611111111 + 0.3611111111 + 0.4722222222i + i2 = 0 + 0.3611111111 Combine like terms: -0.3611111111 + 0.3611111111 = 0.0000000000 0.0000000000 + 0.4722222222i + i2 = 0 + 0.3611111111 0.4722222222i + i2 = 0 + 0.3611111111 Combine like terms: 0 + 0.3611111111 = 0.3611111111 0.4722222222i + i2 = 0.3611111111 The i term is 0.4722222222i. Take half its coefficient (0.2361111111). Square it (0.05574845678) and add it to both sides. Add '0.05574845678' to each side of the equation. 0.4722222222i + 0.05574845678 + i2 = 0.3611111111 + 0.05574845678 Reorder the terms: 0.05574845678 + 0.4722222222i + i2 = 0.3611111111 + 0.05574845678 Combine like terms: 0.3611111111 + 0.05574845678 = 0.41685956788 0.05574845678 + 0.4722222222i + i2 = 0.41685956788 Factor a perfect square on the left side: (i + 0.2361111111)(i + 0.2361111111) = 0.41685956788 Calculate the square root of the right side: 0.645646628 Break this problem into two subproblems by setting (i + 0.2361111111) equal to 0.645646628 and -0.645646628.Subproblem 1
i + 0.2361111111 = 0.645646628 Simplifying i + 0.2361111111 = 0.645646628 Reorder the terms: 0.2361111111 + i = 0.645646628 Solving 0.2361111111 + i = 0.645646628 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.2361111111' to each side of the equation. 0.2361111111 + -0.2361111111 + i = 0.645646628 + -0.2361111111 Combine like terms: 0.2361111111 + -0.2361111111 = 0.0000000000 0.0000000000 + i = 0.645646628 + -0.2361111111 i = 0.645646628 + -0.2361111111 Combine like terms: 0.645646628 + -0.2361111111 = 0.4095355169 i = 0.4095355169 Simplifying i = 0.4095355169Subproblem 2
i + 0.2361111111 = -0.645646628 Simplifying i + 0.2361111111 = -0.645646628 Reorder the terms: 0.2361111111 + i = -0.645646628 Solving 0.2361111111 + i = -0.645646628 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.2361111111' to each side of the equation. 0.2361111111 + -0.2361111111 + i = -0.645646628 + -0.2361111111 Combine like terms: 0.2361111111 + -0.2361111111 = 0.0000000000 0.0000000000 + i = -0.645646628 + -0.2361111111 i = -0.645646628 + -0.2361111111 Combine like terms: -0.645646628 + -0.2361111111 = -0.8817577391 i = -0.8817577391 Simplifying i = -0.8817577391Solution
The solution to the problem is based on the solutions from the subproblems. i = {0.4095355169, -0.8817577391}
| 2500(1+9/100*2) | | 2^5x2^2/2^-1 | | 2500(1+9/100)^2*5 | | 6x^2+8x-9=0 | | 10x-45=0 | | x-2/3+x-3/2=x-5/6+2 | | 8x-6=4x-8 | | x^2-5x-2=-9x-5 | | x^2-4x+7=4 | | 4Xx-2=8 | | 6y-y-1160=0 | | 4x^2-15x+20=2x+5 | | 4x^2-19+21=-3x+6 | | 4y-5,4=-24,6 | | 21+5x=41 | | x^2+6x=221 | | x^2-10x-1=-6x-4 | | x^2+17x+22=8x+2 | | x^2+7x+17=5 | | n^2-3n=180 | | 2*(-4)+3=(-4)-6 | | 4x^2-15x+29=9x+2 | | 2x^2+x=27 | | 4x^2-15x+15=-2x+5 | | x^2+x=153 | | 6(4x-15)=4238 | | 4x^2+13x=3 | | x^2-11x-11=-9x+4 | | 4y=200x-y+3 | | x^2+6x+20=-3x+2 | | y=4x+5x-2 | | Y=500x+4x^2-7y |