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Simplifying 18x2y + -42x2 + -12y + 28 = 0 Reorder the terms: 28 + -42x2 + 18x2y + -12y = 0 Solving 28 + -42x2 + 18x2y + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -42x2 + 18x2y + -28 + -12y = 0 + -28 Reorder the terms: 28 + -28 + -42x2 + 18x2y + -12y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -42x2 + 18x2y + -12y = 0 + -28 -42x2 + 18x2y + -12y = 0 + -28 Combine like terms: 0 + -28 = -28 -42x2 + 18x2y + -12y = -28 Add '12y' to each side of the equation. -42x2 + 18x2y + -12y + 12y = -28 + 12y Combine like terms: -12y + 12y = 0 -42x2 + 18x2y + 0 = -28 + 12y -42x2 + 18x2y = -28 + 12y Reorder the terms: 28 + -42x2 + 18x2y + -12y = -28 + 12y + 28 + -12y Reorder the terms: 28 + -42x2 + 18x2y + -12y = -28 + 28 + 12y + -12y Combine like terms: -28 + 28 = 0 28 + -42x2 + 18x2y + -12y = 0 + 12y + -12y 28 + -42x2 + 18x2y + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 28 + -42x2 + 18x2y + -12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + -21x2 + 9x2y + -6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -21x2 + 9x2y + -6y)' equal to zero and attempt to solve: Simplifying 14 + -21x2 + 9x2y + -6y = 0 Solving 14 + -21x2 + 9x2y + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -21x2 + 9x2y + -14 + -6y = 0 + -14 Reorder the terms: 14 + -14 + -21x2 + 9x2y + -6y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -21x2 + 9x2y + -6y = 0 + -14 -21x2 + 9x2y + -6y = 0 + -14 Combine like terms: 0 + -14 = -14 -21x2 + 9x2y + -6y = -14 Add '6y' to each side of the equation. -21x2 + 9x2y + -6y + 6y = -14 + 6y Combine like terms: -6y + 6y = 0 -21x2 + 9x2y + 0 = -14 + 6y -21x2 + 9x2y = -14 + 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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