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Simplifying x + -3(4x2 + 64x + 256) = 0 Reorder the terms: x + -3(256 + 64x + 4x2) = 0 x + (256 * -3 + 64x * -3 + 4x2 * -3) = 0 x + (-768 + -192x + -12x2) = 0 Reorder the terms: -768 + x + -192x + -12x2 = 0 Combine like terms: x + -192x = -191x -768 + -191x + -12x2 = 0 Solving -768 + -191x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(768 + 191x + 12x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(768 + 191x + 12x2)' equal to zero and attempt to solve: Simplifying 768 + 191x + 12x2 = 0 Solving 768 + 191x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 64 + 15.91666667x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + 15.91666667x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + 15.91666667x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 15.91666667x + x2 = 0 + -64 15.91666667x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 15.91666667x + x2 = -64 The x term is 15.91666667x. Take half its coefficient (7.958333335). Square it (63.33506947) and add it to both sides. Add '63.33506947' to each side of the equation. 15.91666667x + 63.33506947 + x2 = -64 + 63.33506947 Reorder the terms: 63.33506947 + 15.91666667x + x2 = -64 + 63.33506947 Combine like terms: -64 + 63.33506947 = -0.66493053 63.33506947 + 15.91666667x + x2 = -0.66493053 Factor a perfect square on the left side: (x + 7.958333335)(x + 7.958333335) = -0.66493053 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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