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Simplifying (3x3 + -4x2 + 5x)(-1x2y) = 0 Reorder the terms: (5x + -4x2 + 3x3)(-1x2y) = 0 Remove parenthesis around (-1x2y) (5x + -4x2 + 3x3) * -1x2y = 0 Reorder the terms for easier multiplication: -1x2y(5x + -4x2 + 3x3) = 0 (5x * -1x2y + -4x2 * -1x2y + 3x3 * -1x2y) = 0 (-5x3y + 4x4y + -3x5y) = 0 Solving -5x3y + 4x4y + -3x5y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3y'. x3y(-5 + 4x + -3x2) = 0Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + 4x + -3x2)' equal to zero and attempt to solve: Simplifying -5 + 4x + -3x2 = 0 Solving -5 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.666666667 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -1.333333333x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -1.333333333x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -1.666666667 -1.333333333x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -1.333333333x + x2 = -1.666666667 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -1.666666667 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -1.666666667 + 0.4444444442 Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228 0.4444444442 + -1.333333333x + x2 = -1.2222222228 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.2222222228 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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