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Simplifying 2.6(i + -1) + 0.7 = 1.2(3 + -1i) + 0.2 Reorder the terms: 2.6(-1 + i) + 0.7 = 1.2(3 + -1i) + 0.2 (-1 * 2.6 + i * 2.6) + 0.7 = 1.2(3 + -1i) + 0.2 (-2.6 + 2.6i) + 0.7 = 1.2(3 + -1i) + 0.2 Reorder the terms: -2.6 + 0.7 + 2.6i = 1.2(3 + -1i) + 0.2 Combine like terms: -2.6 + 0.7 = -1.9 -1.9 + 2.6i = 1.2(3 + -1i) + 0.2 -1.9 + 2.6i = (3 * 1.2 + -1i * 1.2) + 0.2 -1.9 + 2.6i = (3.6 + -1.2i) + 0.2 Reorder the terms: -1.9 + 2.6i = 3.6 + 0.2 + -1.2i Combine like terms: 3.6 + 0.2 = 3.8 -1.9 + 2.6i = 3.8 + -1.2i Solving -1.9 + 2.6i = 3.8 + -1.2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1.2i' to each side of the equation. -1.9 + 2.6i + 1.2i = 3.8 + -1.2i + 1.2i Combine like terms: 2.6i + 1.2i = 3.8i -1.9 + 3.8i = 3.8 + -1.2i + 1.2i Combine like terms: -1.2i + 1.2i = 0.0 -1.9 + 3.8i = 3.8 + 0.0 -1.9 + 3.8i = 3.8 Add '1.9' to each side of the equation. -1.9 + 1.9 + 3.8i = 3.8 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 3.8i = 3.8 + 1.9 3.8i = 3.8 + 1.9 Combine like terms: 3.8 + 1.9 = 5.7 3.8i = 5.7 Divide each side by '3.8'. i = 1.5 Simplifying i = 1.5
| 14x^2-2x-4=0 | | (5c^2-10-2c)=0 | | 7+x/5=42 | | 2a-21.1=a+1.9 | | d-3/5=7/12 | | 30x/36x | | 2a-22.7=a+13 | | (121/64)-(3/16) | | 3/5+7/12 | | 180x/(15+2x)=y | | 106=x^4 | | 180x/(15+2x) | | 30x^12/36x^5 | | -15=6p+15-4p | | (22/16)^2 | | x^2+10x-66=0 | | x+2=(-10) | | -6/7(6x+4)=1/28x-15 | | 0.25x+0.75x=0.8+3.5 | | 1.25=x^4 | | 12--3= | | 30-10(2/5) | | 12-13= | | 12-15= | | 2.7m+3.8=7.8-9.8m | | 12--8= | | 30-102/5 | | -11--3= | | -11-13= | | 4.38-0.15x=1.15x+2.57 | | -11-15= | | -11--8= |