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Simplifying (6i)(3 + 2i) = 0 Remove parenthesis around (6i) 6i(3 + 2i) = 0 (3 * 6i + 2i * 6i) = 0 (18i + 12i2) = 0 Solving 18i + 12i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '6i'. 6i(3 + 2i) = 0 Ignore the factor 6.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 '(3 + 2i)' equal to zero and attempt to solve: Simplifying 3 + 2i = 0 Solving 3 + 2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i = 0 + -3 2i = 0 + -3 Combine like terms: 0 + -3 = -3 2i = -3 Divide each side by '2'. i = -1.5 Simplifying i = -1.5Solution
i = {0, -1.5}
| 24/6=n5 | | a=-2;b=0.5;c=2/3 | | 15x+3=12x-9 | | g(x)=ln(x^5+10x^2+x) | | 4*(2y-3x)= | | 6x+67=8x+23 | | 7-2x=4x+2 | | 3b-2a+b-2a= | | 3b-2a+b= | | 2xy/5x*5x/4xy | | f(x)=x+x^3+x^2 | | 2a-(3b-2a+b)= | | 2cd/5e/4ed/5c | | 4+(13-5)= | | 9a^2-24a+16-y^2-2xy-y^2= | | 12y+45=3y+5 | | f=-17 | | 3a-27=54+12 | | -17h=-17 | | 6(-1+9x)-5x+20-6= | | 216x+1000y=4600 | | 2216x-1000y=4600 | | (4p-3)=0 | | 13v-5v-8=8 | | x:2-x:5=15 | | (x+4)(x-[3+2i])(x+[3+2i])=0 | | 4(2y-3)=6y | | 5x-8+15x=8x+8-2x | | x:8+5=12 | | -1.5=logk | | 1:8+5=12 | | logk=-1.5 |