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Simplifying (8x3y2 + 7x2y2 + 6xy2) + (4x3y2 + -2x2y2 + -4xy2) = 0 Reorder the terms: (6xy2 + 7x2y2 + 8x3y2) + (4x3y2 + -2x2y2 + -4xy2) = 0 Remove parenthesis around (6xy2 + 7x2y2 + 8x3y2) 6xy2 + 7x2y2 + 8x3y2 + (4x3y2 + -2x2y2 + -4xy2) = 0 Reorder the terms: 6xy2 + 7x2y2 + 8x3y2 + (-4xy2 + -2x2y2 + 4x3y2) = 0 Remove parenthesis around (-4xy2 + -2x2y2 + 4x3y2) 6xy2 + 7x2y2 + 8x3y2 + -4xy2 + -2x2y2 + 4x3y2 = 0 Reorder the terms: 6xy2 + -4xy2 + 7x2y2 + -2x2y2 + 8x3y2 + 4x3y2 = 0 Combine like terms: 6xy2 + -4xy2 = 2xy2 2xy2 + 7x2y2 + -2x2y2 + 8x3y2 + 4x3y2 = 0 Combine like terms: 7x2y2 + -2x2y2 = 5x2y2 2xy2 + 5x2y2 + 8x3y2 + 4x3y2 = 0 Combine like terms: 8x3y2 + 4x3y2 = 12x3y2 2xy2 + 5x2y2 + 12x3y2 = 0 Solving 2xy2 + 5x2y2 + 12x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy2'. xy2(2 + 5x + 12x2) = 0Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(2 + 5x + 12x2)' equal to zero and attempt to solve: Simplifying 2 + 5x + 12x2 = 0 Solving 2 + 5x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.1666666667 + 0.4166666667x + x2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + 0.4166666667x + -0.1666666667 + x2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + 0.4166666667x + x2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + 0.4166666667x + x2 = 0 + -0.1666666667 0.4166666667x + x2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 0.4166666667x + x2 = -0.1666666667 The x term is 0.4166666667x. Take half its coefficient (0.2083333334). Square it (0.04340277781) and add it to both sides. Add '0.04340277781' to each side of the equation. 0.4166666667x + 0.04340277781 + x2 = -0.1666666667 + 0.04340277781 Reorder the terms: 0.04340277781 + 0.4166666667x + x2 = -0.1666666667 + 0.04340277781 Combine like terms: -0.1666666667 + 0.04340277781 = -0.12326388889 0.04340277781 + 0.4166666667x + x2 = -0.12326388889 Factor a perfect square on the left side: (x + 0.2083333334)(x + 0.2083333334) = -0.12326388889 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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