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Simplifying 5x3y + -3x2y + 40xy = 0 Reorder the terms: 40xy + -3x2y + 5x3y = 0 Solving 40xy + -3x2y + 5x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(40 + -3x + 5x2) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(40 + -3x + 5x2)' equal to zero and attempt to solve: Simplifying 40 + -3x + 5x2 = 0 Solving 40 + -3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 8 + -0.6x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -0.6x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -0.6x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -0.6x + x2 = 0 + -8 -0.6x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -0.6x + x2 = -8 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -8 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -8 + 0.09 Combine like terms: -8 + 0.09 = -7.91 0.09 + -0.6x + x2 = -7.91 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -7.91 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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