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Simplifying f(x) = (x + -5)(x + -4i)(x + 4i) Multiply f * x fx = (x + -5)(x + -4i)(x + 4i) Reorder the terms: fx = (-5 + x)(x + -4i)(x + 4i) Reorder the terms: fx = (-5 + x)(-4i + x)(x + 4i) Reorder the terms: fx = (-5 + x)(-4i + x)(4i + x) Multiply (-5 + x) * (-4i + x) fx = (-5(-4i + x) + x(-4i + x))(4i + x) fx = ((-4i * -5 + x * -5) + x(-4i + x))(4i + x) fx = ((20i + -5x) + x(-4i + x))(4i + x) fx = (20i + -5x + (-4i * x + x * x))(4i + x) fx = (20i + -5x + (-4ix + x2))(4i + x) Reorder the terms: fx = (20i + -4ix + -5x + x2)(4i + x) fx = (20i + -4ix + -5x + x2)(4i + x) Multiply (20i + -4ix + -5x + x2) * (4i + x) fx = (20i * (4i + x) + -4ix * (4i + x) + -5x * (4i + x) + x2(4i + x)) fx = ((4i * 20i + x * 20i) + -4ix * (4i + x) + -5x * (4i + x) + x2(4i + x)) Reorder the terms: fx = ((20ix + 80i2) + -4ix * (4i + x) + -5x * (4i + x) + x2(4i + x)) fx = ((20ix + 80i2) + -4ix * (4i + x) + -5x * (4i + x) + x2(4i + x)) fx = (20ix + 80i2 + (4i * -4ix + x * -4ix) + -5x * (4i + x) + x2(4i + x)) Reorder the terms: fx = (20ix + 80i2 + (-4ix2 + -16i2x) + -5x * (4i + x) + x2(4i + x)) fx = (20ix + 80i2 + (-4ix2 + -16i2x) + -5x * (4i + x) + x2(4i + x)) fx = (20ix + 80i2 + -4ix2 + -16i2x + (4i * -5x + x * -5x) + x2(4i + x)) fx = (20ix + 80i2 + -4ix2 + -16i2x + (-20ix + -5x2) + x2(4i + x)) fx = (20ix + 80i2 + -4ix2 + -16i2x + -20ix + -5x2 + (4i * x2 + x * x2)) fx = (20ix + 80i2 + -4ix2 + -16i2x + -20ix + -5x2 + (4ix2 + x3)) Reorder the terms: fx = (20ix + -20ix + -4ix2 + 4ix2 + 80i2 + -16i2x + -5x2 + x3) Combine like terms: 20ix + -20ix = 0 fx = (0 + -4ix2 + 4ix2 + 80i2 + -16i2x + -5x2 + x3) fx = (-4ix2 + 4ix2 + 80i2 + -16i2x + -5x2 + x3) Combine like terms: -4ix2 + 4ix2 = 0 fx = (0 + 80i2 + -16i2x + -5x2 + x3) fx = (80i2 + -16i2x + -5x2 + x3) Solving fx = 80i2 + -16i2x + -5x2 + x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 80i2x-1 + -16i2 + -5x + x2 Simplifying f = 80i2x-1 + -16i2 + -5x + x2 Reorder the terms: f = -16i2 + 80i2x-1 + -5x + x2
| -8-6(3-9)= | | F(x+9)=x^2-2x-9 | | 6y+(x-y)-(3xy+7y)= | | -2x+6(x-1)+3-(4-x)=-(x+5)-5 | | Y=3-.75x | | 9m+m=90 | | -6240=x^4 | | 12=7e^2t | | (4.25/5)=(x/4) | | 12=7e^12t | | 8(x-5)+7(-4x-1)=-21(x+1)-8 | | 9(k+7)-(-9k-9)=17k | | 9(x-4)=1+8x | | 7x+3-3x=5+3x-8 | | T=MN | | 14x+8y+3(2x+4y)= | | M=NT | | log(x^6/z) | | 5(3x+45+2)=65 | | m^4+m^3+m^2-m-2=0 | | 50=a+(-1)160 | | 100=a+(-1)0 | | 100=a+(-1)15 | | P=48-5Q | | 22-6p=19-5p | | 7x^2=225 | | ((ln(ln(4x)))/4x)dx | | 350=350 | | 2+2-2-3+1=0 | | (15x^5-9ux^3)/(9yx^2x^6) | | 4x-5=9+x | | d=7.2in |