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Simplifying -9x(4x2 + -3x + 4) = 0 Reorder the terms: -9x(4 + -3x + 4x2) = 0 (4 * -9x + -3x * -9x + 4x2 * -9x) = 0 (-36x + 27x2 + -36x3) = 0 Solving -36x + 27x2 + -36x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(-4 + 3x + -4x2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-4 + 3x + -4x2)' equal to zero and attempt to solve: Simplifying -4 + 3x + -4x2 = 0 Solving -4 + 3x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.75x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.75x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.75x + x2 = 0 + -1 -0.75x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.75x + x2 = -1 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -1 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1 + 0.140625 Combine like terms: -1 + 0.140625 = -0.859375 0.140625 + -0.75x + x2 = -0.859375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.859375 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.Solution
x = {0}
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