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Simplifying 2(5xy + -6) + 4(8 + 3x) + -6 = 0 Reorder the terms: 2(-6 + 5xy) + 4(8 + 3x) + -6 = 0 (-6 * 2 + 5xy * 2) + 4(8 + 3x) + -6 = 0 (-12 + 10xy) + 4(8 + 3x) + -6 = 0 -12 + 10xy + (8 * 4 + 3x * 4) + -6 = 0 -12 + 10xy + (32 + 12x) + -6 = 0 Reorder the terms: -12 + 32 + -6 + 12x + 10xy = 0 Combine like terms: -12 + 32 = 20 20 + -6 + 12x + 10xy = 0 Combine like terms: 20 + -6 = 14 14 + 12x + 10xy = 0 Solving 14 + 12x + 10xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 12x + -14 + 10xy = 0 + -14 Reorder the terms: 14 + -14 + 12x + 10xy = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12x + 10xy = 0 + -14 12x + 10xy = 0 + -14 Combine like terms: 0 + -14 = -14 12x + 10xy = -14 Reorder the terms: 14 + 12x + 10xy = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 12x + 10xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 6x + 5xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 6x + 5xy)' equal to zero and attempt to solve: Simplifying 7 + 6x + 5xy = 0 Solving 7 + 6x + 5xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6x + -7 + 5xy = 0 + -7 Reorder the terms: 7 + -7 + 6x + 5xy = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x + 5xy = 0 + -7 6x + 5xy = 0 + -7 Combine like terms: 0 + -7 = -7 6x + 5xy = -7 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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