If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3(-3 + -1i) + (i)(1 + 3i) = 0 (-3 * 3 + -1i * 3) + (i)(1 + 3i) = 0 (-9 + -3i) + (i)(1 + 3i) = 0 -9 + -3i + (1 * i + 3i * i) = 0 -9 + -3i + (1i + 3i2) = 0 Combine like terms: -3i + 1i = -2i -9 + -2i + 3i2 = 0 Solving -9 + -2i + 3i2 = 0 Solving for variable 'i'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -3 + -0.6666666667i + i2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + -0.6666666667i + 3 + i2 = 0 + 3 Reorder the terms: -3 + 3 + -0.6666666667i + i2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -0.6666666667i + i2 = 0 + 3 -0.6666666667i + i2 = 0 + 3 Combine like terms: 0 + 3 = 3 -0.6666666667i + i2 = 3 The i term is -0.6666666667i. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667i + 0.1111111112 + i2 = 3 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667i + i2 = 3 + 0.1111111112 Combine like terms: 3 + 0.1111111112 = 3.1111111112 0.1111111112 + -0.6666666667i + i2 = 3.1111111112 Factor a perfect square on the left side: (i + -0.3333333334)(i + -0.3333333334) = 3.1111111112 Calculate the square root of the right side: 1.763834207 Break this problem into two subproblems by setting (i + -0.3333333334) equal to 1.763834207 and -1.763834207.Subproblem 1
i + -0.3333333334 = 1.763834207 Simplifying i + -0.3333333334 = 1.763834207 Reorder the terms: -0.3333333334 + i = 1.763834207 Solving -0.3333333334 + i = 1.763834207 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + i = 1.763834207 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + i = 1.763834207 + 0.3333333334 i = 1.763834207 + 0.3333333334 Combine like terms: 1.763834207 + 0.3333333334 = 2.0971675404 i = 2.0971675404 Simplifying i = 2.0971675404Subproblem 2
i + -0.3333333334 = -1.763834207 Simplifying i + -0.3333333334 = -1.763834207 Reorder the terms: -0.3333333334 + i = -1.763834207 Solving -0.3333333334 + i = -1.763834207 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + i = -1.763834207 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + i = -1.763834207 + 0.3333333334 i = -1.763834207 + 0.3333333334 Combine like terms: -1.763834207 + 0.3333333334 = -1.4305008736 i = -1.4305008736 Simplifying i = -1.4305008736Solution
The solution to the problem is based on the solutions from the subproblems. i = {2.0971675404, -1.4305008736}
| 4*x-14=2x | | x^3-6x^2=3x-10 | | -1-3(x+3)=-4-5x | | 2(x-3)=-2(4-x)+2 | | -6(k-3)-(-7k-5)=3 | | 5(2m+1)-6=10(m-1)+12 | | 4p-5(1-5p)=-2p-5 | | 1/2x=-1/2x | | 14+4*x-22=-9(2-x)+5*x | | -19v=-17-18v | | -4a+3+5a=10-28 | | 18+11g=-14+9g | | x+6(1-2)=15x+3 | | -16x^2+26t+12=0 | | 3x+7=10x-7 | | -5(-7+6i)-5(-5+4i)=0 | | 4x+9=4x-4 | | 6a^2+3=603 | | -13+6k=18+11k+9 | | 5(-2n-3)=-65 | | -10n-4=-1-9n | | -8u+8=-9u | | (25b-4)-8(3b+4)=-2 | | 23b=-13y | | 10x+-6=-206 | | 9y-9=6y+3 | | 6k^2-8=16 | | 3c+2m=150 | | -7v-5=-54 | | 2b+7=-4b+1+5b | | 4x^2+25x+25=4480 | | 3x+5+12=-13 |