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Simplifying 4x(-6 + -1y) + 2 = 10 (-6 * 4x + -1y * 4x) + 2 = 10 (-24x + -4xy) + 2 = 10 Reorder the terms: 2 + -24x + -4xy = 10 Solving 2 + -24x + -4xy = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -24x + -2 + -4xy = 10 + -2 Reorder the terms: 2 + -2 + -24x + -4xy = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -24x + -4xy = 10 + -2 -24x + -4xy = 10 + -2 Combine like terms: 10 + -2 = 8 -24x + -4xy = 8 Reorder the terms: -8 + -24x + -4xy = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -24x + -4xy = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(2 + 6x + xy) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(2 + 6x + xy)' equal to zero and attempt to solve: Simplifying 2 + 6x + xy = 0 Solving 2 + 6x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6x + -2 + xy = 0 + -2 Reorder the terms: 2 + -2 + 6x + xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x + xy = 0 + -2 6x + xy = 0 + -2 Combine like terms: 0 + -2 = -2 6x + xy = -2 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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