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Simplifying 12x2y + -42x2 + -18y + 63 = 0 Reorder the terms: 63 + -42x2 + 12x2y + -18y = 0 Solving 63 + -42x2 + 12x2y + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -42x2 + 12x2y + -63 + -18y = 0 + -63 Reorder the terms: 63 + -63 + -42x2 + 12x2y + -18y = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -42x2 + 12x2y + -18y = 0 + -63 -42x2 + 12x2y + -18y = 0 + -63 Combine like terms: 0 + -63 = -63 -42x2 + 12x2y + -18y = -63 Add '18y' to each side of the equation. -42x2 + 12x2y + -18y + 18y = -63 + 18y Combine like terms: -18y + 18y = 0 -42x2 + 12x2y + 0 = -63 + 18y -42x2 + 12x2y = -63 + 18y Reorder the terms: 63 + -42x2 + 12x2y + -18y = -63 + 18y + 63 + -18y Reorder the terms: 63 + -42x2 + 12x2y + -18y = -63 + 63 + 18y + -18y Combine like terms: -63 + 63 = 0 63 + -42x2 + 12x2y + -18y = 0 + 18y + -18y 63 + -42x2 + 12x2y + -18y = 18y + -18y Combine like terms: 18y + -18y = 0 63 + -42x2 + 12x2y + -18y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -14x2 + 4x2y + -6y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(21 + -14x2 + 4x2y + -6y)' equal to zero and attempt to solve: Simplifying 21 + -14x2 + 4x2y + -6y = 0 Solving 21 + -14x2 + 4x2y + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -14x2 + 4x2y + -21 + -6y = 0 + -21 Reorder the terms: 21 + -21 + -14x2 + 4x2y + -6y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -14x2 + 4x2y + -6y = 0 + -21 -14x2 + 4x2y + -6y = 0 + -21 Combine like terms: 0 + -21 = -21 -14x2 + 4x2y + -6y = -21 Add '6y' to each side of the equation. -14x2 + 4x2y + -6y + 6y = -21 + 6y Combine like terms: -6y + 6y = 0 -14x2 + 4x2y + 0 = -21 + 6y -14x2 + 4x2y = -21 + 6y 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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