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Simplifying (5x2 + 4)(3) + (3x + -2)(20x) = 0 Reorder the terms: (4 + 5x2)(3) + (3x + -2)(20x) = 0 Reorder the terms for easier multiplication: 3(4 + 5x2) + (3x + -2)(20x) = 0 (4 * 3 + 5x2 * 3) + (3x + -2)(20x) = 0 (12 + 15x2) + (3x + -2)(20x) = 0 Reorder the terms: 12 + 15x2 + (-2 + 3x)(20x) = 0 Remove parenthesis around (20x) 12 + 15x2 + (-2 + 3x) * 20x = 0 Reorder the terms for easier multiplication: 12 + 15x2 + 20x(-2 + 3x) = 0 12 + 15x2 + (-2 * 20x + 3x * 20x) = 0 12 + 15x2 + (-40x + 60x2) = 0 Reorder the terms: 12 + -40x + 15x2 + 60x2 = 0 Combine like terms: 15x2 + 60x2 = 75x2 12 + -40x + 75x2 = 0 Solving 12 + -40x + 75x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 75 the coefficient of the squared term: Divide each side by '75'. 0.16 + -0.5333333333x + x2 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + -0.5333333333x + -0.16 + x2 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + -0.5333333333x + x2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.5333333333x + x2 = 0 + -0.16 -0.5333333333x + x2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 -0.5333333333x + x2 = -0.16 The x term is -0.5333333333x. Take half its coefficient (-0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. -0.5333333333x + 0.07111111113 + x2 = -0.16 + 0.07111111113 Reorder the terms: 0.07111111113 + -0.5333333333x + x2 = -0.16 + 0.07111111113 Combine like terms: -0.16 + 0.07111111113 = -0.08888888887 0.07111111113 + -0.5333333333x + x2 = -0.08888888887 Factor a perfect square on the left side: (x + -0.2666666667)(x + -0.2666666667) = -0.08888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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