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Simplifying 4b + -5 + (-1a + -3i) * i = 7 + -8i Reorder the terms for easier multiplication: 4b + -5 + i(-1a + -3i) = 7 + -8i 4b + -5 + (-1a * i + -3i * i) = 7 + -8i 4b + -5 + (-1ai + -3i2) = 7 + -8i Reorder the terms: -5 + -1ai + 4b + -3i2 = 7 + -8i Solving -5 + -1ai + 4b + -3i2 = 7 + -8i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1ai + 4b + 5 + -3i2 = 7 + 5 + -8i Reorder the terms: -5 + 5 + -1ai + 4b + -3i2 = 7 + 5 + -8i Combine like terms: -5 + 5 = 0 0 + -1ai + 4b + -3i2 = 7 + 5 + -8i -1ai + 4b + -3i2 = 7 + 5 + -8i Combine like terms: 7 + 5 = 12 -1ai + 4b + -3i2 = 12 + -8i Add '-4b' to each side of the equation. -1ai + 4b + -4b + -3i2 = 12 + -4b + -8i Combine like terms: 4b + -4b = 0 -1ai + 0 + -3i2 = 12 + -4b + -8i -1ai + -3i2 = 12 + -4b + -8i Add '3i2' to each side of the equation. -1ai + -3i2 + 3i2 = 12 + -4b + -8i + 3i2 Combine like terms: -3i2 + 3i2 = 0 -1ai + 0 = 12 + -4b + -8i + 3i2 -1ai = 12 + -4b + -8i + 3i2 Divide each side by '-1i'. a = -12i-1 + 4bi-1 + 8 + -3i Simplifying a = -12i-1 + 4bi-1 + 8 + -3i Reorder the terms: a = 8 + 4bi-1 + -12i-1 + -3i
| x-y=-5y+40 | | 7(m+18)=49 | | 110=n-45 | | (-4i)(-3i)(-3+6i)= | | Y=log(5x-4) | | -5x+5(-6x+17)=15 | | H(3)=-2x^2-2x+4 | | 17+n=56 | | y=-2(5)+3 | | 3z=22 | | x(x-5)=x-14 | | a=74 | | 2x+8+3(5-8x)=140 | | 6x-6x+8=8 | | -x^2=-5x+20 | | 7h+9+7h=121 | | 14r-7=63 | | -[5z-(8z+5)]=5+(2z+6) | | 60-5d=0 | | F(-8)=4x+3 | | 43x=-75 | | 60-5d=50 | | r^2-12r=28 | | (x+8)-15=-3 | | 92+n=110 | | 0.8t=0.9+0.2t | | (2+4i)-(-3+8i)= | | 3(9+x)+1=7x-4(x-2) | | 7.5x+40=115 | | 43-87=-75 | | 12=7+z | | =2.5x-57 |