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Simplifying (7x3y2 + 7x2y2 + 5xy2) + (6x3y2 + -2x2y2 + -3xy2) = 0 Reorder the terms: (5xy2 + 7x2y2 + 7x3y2) + (6x3y2 + -2x2y2 + -3xy2) = 0 Remove parenthesis around (5xy2 + 7x2y2 + 7x3y2) 5xy2 + 7x2y2 + 7x3y2 + (6x3y2 + -2x2y2 + -3xy2) = 0 Reorder the terms: 5xy2 + 7x2y2 + 7x3y2 + (-3xy2 + -2x2y2 + 6x3y2) = 0 Remove parenthesis around (-3xy2 + -2x2y2 + 6x3y2) 5xy2 + 7x2y2 + 7x3y2 + -3xy2 + -2x2y2 + 6x3y2 = 0 Reorder the terms: 5xy2 + -3xy2 + 7x2y2 + -2x2y2 + 7x3y2 + 6x3y2 = 0 Combine like terms: 5xy2 + -3xy2 = 2xy2 2xy2 + 7x2y2 + -2x2y2 + 7x3y2 + 6x3y2 = 0 Combine like terms: 7x2y2 + -2x2y2 = 5x2y2 2xy2 + 5x2y2 + 7x3y2 + 6x3y2 = 0 Combine like terms: 7x3y2 + 6x3y2 = 13x3y2 2xy2 + 5x2y2 + 13x3y2 = 0 Solving 2xy2 + 5x2y2 + 13x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy2'. xy2(2 + 5x + 13x2) = 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 + 13x2)' equal to zero and attempt to solve: Simplifying 2 + 5x + 13x2 = 0 Solving 2 + 5x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.1538461538 + 0.3846153846x + x2 = 0 Move the constant term to the right: Add '-0.1538461538' to each side of the equation. 0.1538461538 + 0.3846153846x + -0.1538461538 + x2 = 0 + -0.1538461538 Reorder the terms: 0.1538461538 + -0.1538461538 + 0.3846153846x + x2 = 0 + -0.1538461538 Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000 0.0000000000 + 0.3846153846x + x2 = 0 + -0.1538461538 0.3846153846x + x2 = 0 + -0.1538461538 Combine like terms: 0 + -0.1538461538 = -0.1538461538 0.3846153846x + x2 = -0.1538461538 The x term is 0.3846153846x. Take half its coefficient (0.1923076923). Square it (0.03698224852) and add it to both sides. Add '0.03698224852' to each side of the equation. 0.3846153846x + 0.03698224852 + x2 = -0.1538461538 + 0.03698224852 Reorder the terms: 0.03698224852 + 0.3846153846x + x2 = -0.1538461538 + 0.03698224852 Combine like terms: -0.1538461538 + 0.03698224852 = -0.11686390528 0.03698224852 + 0.3846153846x + x2 = -0.11686390528 Factor a perfect square on the left side: (x + 0.1923076923)(x + 0.1923076923) = -0.11686390528 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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