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Simplifying f(x) = (x + -3)(x + -5i)(x + -5i) Multiply f * x fx = (x + -3)(x + -5i)(x + -5i) Reorder the terms: fx = (-3 + x)(x + -5i)(x + -5i) Reorder the terms: fx = (-3 + x)(-5i + x)(x + -5i) Reorder the terms: fx = (-3 + x)(-5i + x)(-5i + x) Multiply (-3 + x) * (-5i + x) fx = (-3(-5i + x) + x(-5i + x))(-5i + x) fx = ((-5i * -3 + x * -3) + x(-5i + x))(-5i + x) fx = ((15i + -3x) + x(-5i + x))(-5i + x) fx = (15i + -3x + (-5i * x + x * x))(-5i + x) fx = (15i + -3x + (-5ix + x2))(-5i + x) Reorder the terms: fx = (15i + -5ix + -3x + x2)(-5i + x) fx = (15i + -5ix + -3x + x2)(-5i + x) Multiply (15i + -5ix + -3x + x2) * (-5i + x) fx = (15i * (-5i + x) + -5ix * (-5i + x) + -3x * (-5i + x) + x2(-5i + x)) fx = ((-5i * 15i + x * 15i) + -5ix * (-5i + x) + -3x * (-5i + x) + x2(-5i + x)) Reorder the terms: fx = ((15ix + -75i2) + -5ix * (-5i + x) + -3x * (-5i + x) + x2(-5i + x)) fx = ((15ix + -75i2) + -5ix * (-5i + x) + -3x * (-5i + x) + x2(-5i + x)) fx = (15ix + -75i2 + (-5i * -5ix + x * -5ix) + -3x * (-5i + x) + x2(-5i + x)) Reorder the terms: fx = (15ix + -75i2 + (-5ix2 + 25i2x) + -3x * (-5i + x) + x2(-5i + x)) fx = (15ix + -75i2 + (-5ix2 + 25i2x) + -3x * (-5i + x) + x2(-5i + x)) fx = (15ix + -75i2 + -5ix2 + 25i2x + (-5i * -3x + x * -3x) + x2(-5i + x)) fx = (15ix + -75i2 + -5ix2 + 25i2x + (15ix + -3x2) + x2(-5i + x)) fx = (15ix + -75i2 + -5ix2 + 25i2x + 15ix + -3x2 + (-5i * x2 + x * x2)) fx = (15ix + -75i2 + -5ix2 + 25i2x + 15ix + -3x2 + (-5ix2 + x3)) Reorder the terms: fx = (15ix + 15ix + -5ix2 + -5ix2 + -75i2 + 25i2x + -3x2 + x3) Combine like terms: 15ix + 15ix = 30ix fx = (30ix + -5ix2 + -5ix2 + -75i2 + 25i2x + -3x2 + x3) Combine like terms: -5ix2 + -5ix2 = -10ix2 fx = (30ix + -10ix2 + -75i2 + 25i2x + -3x2 + x3) Solving fx = 30ix + -10ix2 + -75i2 + 25i2x + -3x2 + 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 = 30i + -10ix + -75i2x-1 + 25i2 + -3x + x2 Simplifying f = 30i + -10ix + -75i2x-1 + 25i2 + -3x + x2 Reorder the terms: f = 30i + -10ix + 25i2 + -75i2x-1 + -3x + x2
| f(x)=(x-3)(x-5i)(x-6i) | | (2x-5y)= | | 5/9x-4=3/49x | | 380-(-59)= | | -99+167= | | g/4-3=1 | | 2x+4(-3)=-8 | | 2x+4(-3)=8 | | -2(1-2x)-1(1-2x)=-x-2 | | 33x=22x+48 | | 3/5*8= | | -99+162= | | y+2=-7(x+6) | | 6/5x-6=2x-8 | | n-14.7=5.7 | | 8m-4=52 | | 5c-4c= | | -64.5g/=-25.8 | | y=.50x+20 | | 0.5/?=200 | | 2a*5ab= | | f(x)=3x^2+9x-4 | | y-7=(3x-4) | | .25=2x | | 2x+54+7x+16=180 | | 2/3r5/6r | | 2.5xy=-2 | | 6cn+4-c=24 | | 4x-7+2x=2(2x-3) | | 3a+4b-7c=0 | | MNU NUV | | 2x^2+3xy+4y^2+11y-8=0 |