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:.4x^(3)-6x^(2)-20=1

∴4x3−6x2−20=1 \therefore 4 x^{3}-6 x^{2}-20=1

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Full solution

Q. ∴4x3−6x2−20=1 \therefore 4 x^{3}-6 x^{2}-20=1
  1. Rewrite equation to set zero: Rewrite the equation to set it to zero.\newline0.4x3−6x2−20−1=00.4x^3 - 6x^2 - 20 - 1 = 0\newline0.4x3−6x2−21=00.4x^3 - 6x^2 - 21 = 0
  2. Multiply to clear decimal: Multiply through by 1010 to clear the decimal.\newline10(0.4x3)−10(6x2)−10(21)=10(0)10(0.4x^3) - 10(6x^2) - 10(21) = 10(0)\newline4x3−60x2−210=04x^3 - 60x^2 - 210 = 0
  3. Factor out greatest common factor: Factor out the greatest common factor, which is 22.2(2x3−30x2−105)=02(2x^3 - 30x^2 - 105) = 0
  4. Solve factored equation: Solve the factored equation.\newline2x3−30x2−105=02x^3 - 30x^2 - 105 = 0\newlineDivide by 22:\newlinex3−15x2−52.5=0x^3 - 15x^2 - 52.5 = 0

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