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Simplifying (x + -3)(x + -2i)(x + -1x + 2i) = 0 Reorder the terms: (-3 + x)(x + -2i)(x + -1x + 2i) = 0 Reorder the terms: (-3 + x)(-2i + x)(x + -1x + 2i) = 0 Reorder the terms: (-3 + x)(-2i + x)(2i + x + -1x) = 0 Combine like terms: x + -1x = 0 (-3 + x)(-2i + x)(2i + 0) = 0 (-3 + x)(-2i + x)(2i) = 0 Remove parenthesis around (2i) (-3 + x)(-2i + x) * 2i = 0 Reorder the terms for easier multiplication: 2i(-3 + x)(-2i + x) = 0 Multiply (-3 + x) * (-2i + x) 2i(-3(-2i + x) + x(-2i + x)) = 0 2i((-2i * -3 + x * -3) + x(-2i + x)) = 0 2i((6i + -3x) + x(-2i + x)) = 0 2i(6i + -3x + (-2i * x + x * x)) = 0 2i(6i + -3x + (-2ix + x2)) = 0 Reorder the terms: 2i(6i + -2ix + -3x + x2) = 0 2i(6i + -2ix + -3x + x2) = 0 (6i * 2i + -2ix * 2i + -3x * 2i + x2 * 2i) = 0 Reorder the terms: (-6ix + 2ix2 + 12i2 + -4i2x) = 0 (-6ix + 2ix2 + 12i2 + -4i2x) = 0 Solving -6ix + 2ix2 + 12i2 + -4i2x = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '2i'. 2i(-3x + x2 + 6i + -2ix) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(-3x + x2 + 6i + -2ix)' equal to zero and attempt to solve: Simplifying -3x + x2 + 6i + -2ix = 0 Reorder the terms: 6i + -2ix + -3x + x2 = 0 Solving 6i + -2ix + -3x + x2 = 0 Move all terms containing i to the left, all other terms to the right. Add '3x' to each side of the equation. 6i + -2ix + -3x + 3x + x2 = 0 + 3x Combine like terms: -3x + 3x = 0 6i + -2ix + 0 + x2 = 0 + 3x 6i + -2ix + x2 = 0 + 3x Remove the zero: 6i + -2ix + x2 = 3x Add '-1x2' to each side of the equation. 6i + -2ix + x2 + -1x2 = 3x + -1x2 Combine like terms: x2 + -1x2 = 0 6i + -2ix + 0 = 3x + -1x2 6i + -2ix = 3x + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
i = {0}
| x^2+9y^2-6cx-72cy+144c^2=0in | | 30x=40x | | 1-(5-2x)=3-(2x-5) | | 2(-n-3)-7(5+2n)= | | -8-6y=6 | | 3-(m-1)=9 | | -k+2(-2k-5)= | | (7x+2)+(-8x+5)= | | p^2-9b^2=0 | | h=300+16t^2 | | 374 = 12 w+ 2 w2 | | 17x+3=109 | | x-(7x-2)=5(2-x) | | 0=5+45t-16t^2 | | x-.30=25 | | 8.5y+12x=122 | | -5(3p+3)+9(-7+p)= | | 3x^3-5x^2-33x+20=0 | | Y=16+0.75(.8)y+34+50 | | b^2=9b-18 | | 38=5x-12 | | -3(x+5)=1-2(x+1) | | .30x=25 | | 10+4(-8q-4)= | | f(x)=3x^2-30x-72 | | 339=3+6(8x+8) | | .30(x)X=25 | | Y=16+0.75(1-t)y+34+50 | | -x-8=-5x-16 | | (3x-4)+(3x+4)= | | .30xX=25 | | B+0.46=9 |