If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2 + 9i) + (7 + 2i)(7 + -2i) = 0 Remove parenthesis around (2 + 9i) 2 + 9i + (7 + 2i)(7 + -2i) = 0 Multiply (7 + 2i) * (7 + -2i) 2 + 9i + (7(7 + -2i) + 2i * (7 + -2i)) = 0 2 + 9i + ((7 * 7 + -2i * 7) + 2i * (7 + -2i)) = 0 2 + 9i + ((49 + -14i) + 2i * (7 + -2i)) = 0 2 + 9i + (49 + -14i + (7 * 2i + -2i * 2i)) = 0 2 + 9i + (49 + -14i + (14i + -4i2)) = 0 Combine like terms: -14i + 14i = 0 2 + 9i + (49 + 0 + -4i2) = 0 2 + 9i + (49 + -4i2) = 0 Reorder the terms: 2 + 49 + 9i + -4i2 = 0 Combine like terms: 2 + 49 = 51 51 + 9i + -4i2 = 0 Solving 51 + 9i + -4i2 = 0 Solving for variable 'i'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -12.75 + -2.25i + i2 = 0 Move the constant term to the right: Add '12.75' to each side of the equation. -12.75 + -2.25i + 12.75 + i2 = 0 + 12.75 Reorder the terms: -12.75 + 12.75 + -2.25i + i2 = 0 + 12.75 Combine like terms: -12.75 + 12.75 = 0.00 0.00 + -2.25i + i2 = 0 + 12.75 -2.25i + i2 = 0 + 12.75 Combine like terms: 0 + 12.75 = 12.75 -2.25i + i2 = 12.75 The i term is -2.25i. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25i + 1.265625 + i2 = 12.75 + 1.265625 Reorder the terms: 1.265625 + -2.25i + i2 = 12.75 + 1.265625 Combine like terms: 12.75 + 1.265625 = 14.015625 1.265625 + -2.25i + i2 = 14.015625 Factor a perfect square on the left side: (i + -1.125)(i + -1.125) = 14.015625 Calculate the square root of the right side: 3.743744783 Break this problem into two subproblems by setting (i + -1.125) equal to 3.743744783 and -3.743744783.Subproblem 1
i + -1.125 = 3.743744783 Simplifying i + -1.125 = 3.743744783 Reorder the terms: -1.125 + i = 3.743744783 Solving -1.125 + i = 3.743744783 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1.125' to each side of the equation. -1.125 + 1.125 + i = 3.743744783 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + i = 3.743744783 + 1.125 i = 3.743744783 + 1.125 Combine like terms: 3.743744783 + 1.125 = 4.868744783 i = 4.868744783 Simplifying i = 4.868744783Subproblem 2
i + -1.125 = -3.743744783 Simplifying i + -1.125 = -3.743744783 Reorder the terms: -1.125 + i = -3.743744783 Solving -1.125 + i = -3.743744783 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1.125' to each side of the equation. -1.125 + 1.125 + i = -3.743744783 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + i = -3.743744783 + 1.125 i = -3.743744783 + 1.125 Combine like terms: -3.743744783 + 1.125 = -2.618744783 i = -2.618744783 Simplifying i = -2.618744783Solution
The solution to the problem is based on the solutions from the subproblems. i = {4.868744783, -2.618744783}
| 7x+6=7x-7 | | 3x-8+3=55 | | 5-x=-7x+35 | | 6x+2-3x=4x+7-3 | | 3x^2-18x+26=0 | | 5/7-5/21= | | 2(x-3)+6x=x+8 | | 11+9(-3-9)=-32+11n | | 7r^2-10r-8= | | 248-U=67 | | 3x^2-18+26=0 | | 10x+3y+6z-5x+2z-7y= | | 2(x-3)+3(x+1)=7 | | 6(-5x-8)=228 | | 10x-10=22x+6x+18 | | h(0.8)=10.4 | | 40=4x-x+4 | | X^2+20-x=0 | | M(15)= | | v^2-4v-32= | | 9-8k=-47 | | -x-10=-4+2x | | -4(5t-3)+7t=4t-7 | | 4x-6=30-2x | | 4y-5y=10 | | 5(12x)=(x+7)+(6x+9)+(x+10) | | 21+29=35+22 | | 2x-5-x=-2 | | 0.02(y-8)+0.16y=0.08y-0.6 | | y=1100+25x | | -10(4m-2)=180 | | -3(6-3k)=2k+3 |