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Simplifying 3x2 + 13x = 282x2 + 2 Reorder the terms: 13x + 3x2 = 282x2 + 2 Reorder the terms: 13x + 3x2 = 2 + 282x2 Solving 13x + 3x2 = 2 + 282x2 Solving for variable 'x'. Reorder the terms: -2 + 13x + 3x2 + -282x2 = 2 + 282x2 + -2 + -282x2 Combine like terms: 3x2 + -282x2 = -279x2 -2 + 13x + -279x2 = 2 + 282x2 + -2 + -282x2 Reorder the terms: -2 + 13x + -279x2 = 2 + -2 + 282x2 + -282x2 Combine like terms: 2 + -2 = 0 -2 + 13x + -279x2 = 0 + 282x2 + -282x2 -2 + 13x + -279x2 = 282x2 + -282x2 Combine like terms: 282x2 + -282x2 = 0 -2 + 13x + -279x2 = 0 Begin completing the square. Divide all terms by -279 the coefficient of the squared term: Divide each side by '-279'. 0.007168458781 + -0.04659498208x + x2 = 0 Move the constant term to the right: Add '-0.007168458781' to each side of the equation. 0.007168458781 + -0.04659498208x + -0.007168458781 + x2 = 0 + -0.007168458781 Reorder the terms: 0.007168458781 + -0.007168458781 + -0.04659498208x + x2 = 0 + -0.007168458781 Combine like terms: 0.007168458781 + -0.007168458781 = 0.000000000000 0.000000000000 + -0.04659498208x + x2 = 0 + -0.007168458781 -0.04659498208x + x2 = 0 + -0.007168458781 Combine like terms: 0 + -0.007168458781 = -0.007168458781 -0.04659498208x + x2 = -0.007168458781 The x term is -0.04659498208x. Take half its coefficient (-0.02329749104). Square it (0.0005427730888) and add it to both sides. Add '0.0005427730888' to each side of the equation. -0.04659498208x + 0.0005427730888 + x2 = -0.007168458781 + 0.0005427730888 Reorder the terms: 0.0005427730888 + -0.04659498208x + x2 = -0.007168458781 + 0.0005427730888 Combine like terms: -0.007168458781 + 0.0005427730888 = -0.0066256856922 0.0005427730888 + -0.04659498208x + x2 = -0.0066256856922 Factor a perfect square on the left side: (x + -0.02329749104)(x + -0.02329749104) = -0.0066256856922 Can't calculate square root of the right side. The solution to this equation could not be determined.
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