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