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Simplifying 2x2y + -8y + 6x2 + -24 = 0 Reorder the terms: -24 + 6x2 + 2x2y + -8y = 0 Solving -24 + 6x2 + 2x2y + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 6x2 + 2x2y + 24 + -8y = 0 + 24 Reorder the terms: -24 + 24 + 6x2 + 2x2y + -8y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x2 + 2x2y + -8y = 0 + 24 6x2 + 2x2y + -8y = 0 + 24 Combine like terms: 0 + 24 = 24 6x2 + 2x2y + -8y = 24 Add '8y' to each side of the equation. 6x2 + 2x2y + -8y + 8y = 24 + 8y Combine like terms: -8y + 8y = 0 6x2 + 2x2y + 0 = 24 + 8y 6x2 + 2x2y = 24 + 8y Reorder the terms: -24 + 6x2 + 2x2y + -8y = 24 + 8y + -24 + -8y Reorder the terms: -24 + 6x2 + 2x2y + -8y = 24 + -24 + 8y + -8y Combine like terms: 24 + -24 = 0 -24 + 6x2 + 2x2y + -8y = 0 + 8y + -8y -24 + 6x2 + 2x2y + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -24 + 6x2 + 2x2y + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 3x2 + x2y + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 3x2 + x2y + -4y)' equal to zero and attempt to solve: Simplifying -12 + 3x2 + x2y + -4y = 0 Solving -12 + 3x2 + x2y + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 3x2 + x2y + 12 + -4y = 0 + 12 Reorder the terms: -12 + 12 + 3x2 + x2y + -4y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3x2 + x2y + -4y = 0 + 12 3x2 + x2y + -4y = 0 + 12 Combine like terms: 0 + 12 = 12 3x2 + x2y + -4y = 12 Add '4y' to each side of the equation. 3x2 + x2y + -4y + 4y = 12 + 4y Combine like terms: -4y + 4y = 0 3x2 + x2y + 0 = 12 + 4y 3x2 + x2y = 12 + 4y 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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