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Simplifying -1x(4x2 + -2x + 3) = 0 Reorder the terms: -1x(3 + -2x + 4x2) = 0 (3 * -1x + -2x * -1x + 4x2 * -1x) = 0 (-3x + 2x2 + -4x3) = 0 Solving -3x + 2x2 + -4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 2x + -4x2) = 0Subproblem 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 '(-3 + 2x + -4x2)' equal to zero and attempt to solve: Simplifying -3 + 2x + -4x2 = 0 Solving -3 + 2x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 0.75 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.5x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.5x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.5x + x2 = 0 + -0.75 -0.5x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.5x + x2 = -0.75 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.75 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.75 + 0.0625 Combine like terms: -0.75 + 0.0625 = -0.6875 0.0625 + -0.5x + x2 = -0.6875 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.6875 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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