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Simplifying 2(5xy + -3x + 4) + -4[2x + -3(5xy + -4)] + 8xy = 0 Reorder the terms: 2(4 + -3x + 5xy) + -4[2x + -3(5xy + -4)] + 8xy = 0 (4 * 2 + -3x * 2 + 5xy * 2) + -4[2x + -3(5xy + -4)] + 8xy = 0 (8 + -6x + 10xy) + -4[2x + -3(5xy + -4)] + 8xy = 0 Reorder the terms: 8 + -6x + 10xy + -4[2x + -3(-4 + 5xy)] + 8xy = 0 8 + -6x + 10xy + -4[2x + (-4 * -3 + 5xy * -3)] + 8xy = 0 8 + -6x + 10xy + -4[2x + (12 + -15xy)] + 8xy = 0 Reorder the terms: 8 + -6x + 10xy + -4[12 + 2x + -15xy] + 8xy = 0 8 + -6x + 10xy + [12 * -4 + 2x * -4 + -15xy * -4] + 8xy = 0 8 + -6x + 10xy + [-48 + -8x + 60xy] + 8xy = 0 Reorder the terms: 8 + -48 + -6x + -8x + 10xy + 60xy + 8xy = 0 Combine like terms: 8 + -48 = -40 -40 + -6x + -8x + 10xy + 60xy + 8xy = 0 Combine like terms: -6x + -8x = -14x -40 + -14x + 10xy + 60xy + 8xy = 0 Combine like terms: 10xy + 60xy = 70xy -40 + -14x + 70xy + 8xy = 0 Combine like terms: 70xy + 8xy = 78xy -40 + -14x + 78xy = 0 Solving -40 + -14x + 78xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -14x + 40 + 78xy = 0 + 40 Reorder the terms: -40 + 40 + -14x + 78xy = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -14x + 78xy = 0 + 40 -14x + 78xy = 0 + 40 Combine like terms: 0 + 40 = 40 -14x + 78xy = 40 Reorder the terms: -40 + -14x + 78xy = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + -14x + 78xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -7x + 39xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -7x + 39xy)' equal to zero and attempt to solve: Simplifying -20 + -7x + 39xy = 0 Solving -20 + -7x + 39xy = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -7x + 20 + 39xy = 0 + 20 Reorder the terms: -20 + 20 + -7x + 39xy = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -7x + 39xy = 0 + 20 -7x + 39xy = 0 + 20 Combine like terms: 0 + 20 = 20 -7x + 39xy = 20 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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