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Simplifying 4x + -1(-12x + 24y) * y = 4 Reorder the terms for easier multiplication: 4x + -1y(-12x + 24y) = 4 4x + (-12x * -1y + 24y * -1y) = 4 4x + (12xy + -24y2) = 4 Solving 4x + 12xy + -24y2 = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y2' to each side of the equation. 4x + 12xy + -24y2 + 24y2 = 4 + 24y2 Combine like terms: -24y2 + 24y2 = 0 4x + 12xy + 0 = 4 + 24y2 4x + 12xy = 4 + 24y2 Reorder the terms: -4 + 4x + 12xy + -24y2 = 4 + 24y2 + -4 + -24y2 Reorder the terms: -4 + 4x + 12xy + -24y2 = 4 + -4 + 24y2 + -24y2 Combine like terms: 4 + -4 = 0 -4 + 4x + 12xy + -24y2 = 0 + 24y2 + -24y2 -4 + 4x + 12xy + -24y2 = 24y2 + -24y2 Combine like terms: 24y2 + -24y2 = 0 -4 + 4x + 12xy + -24y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + x + 3xy + -6y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + x + 3xy + -6y2)' equal to zero and attempt to solve: Simplifying -1 + x + 3xy + -6y2 = 0 Solving -1 + x + 3xy + -6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x + 3xy + 1 + -6y2 = 0 + 1 Reorder the terms: -1 + 1 + x + 3xy + -6y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + 3xy + -6y2 = 0 + 1 x + 3xy + -6y2 = 0 + 1 Combine like terms: 0 + 1 = 1 x + 3xy + -6y2 = 1 Add '6y2' to each side of the equation. x + 3xy + -6y2 + 6y2 = 1 + 6y2 Combine like terms: -6y2 + 6y2 = 0 x + 3xy + 0 = 1 + 6y2 x + 3xy = 1 + 6y2 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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