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