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Simplifying 12x2y + -42x2 + -4y + 14 = 0 Reorder the terms: 14 + -42x2 + 12x2y + -4y = 0 Solving 14 + -42x2 + 12x2y + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -42x2 + 12x2y + -14 + -4y = 0 + -14 Reorder the terms: 14 + -14 + -42x2 + 12x2y + -4y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -42x2 + 12x2y + -4y = 0 + -14 -42x2 + 12x2y + -4y = 0 + -14 Combine like terms: 0 + -14 = -14 -42x2 + 12x2y + -4y = -14 Add '4y' to each side of the equation. -42x2 + 12x2y + -4y + 4y = -14 + 4y Combine like terms: -4y + 4y = 0 -42x2 + 12x2y + 0 = -14 + 4y -42x2 + 12x2y = -14 + 4y Reorder the terms: 14 + -42x2 + 12x2y + -4y = -14 + 4y + 14 + -4y Reorder the terms: 14 + -42x2 + 12x2y + -4y = -14 + 14 + 4y + -4y Combine like terms: -14 + 14 = 0 14 + -42x2 + 12x2y + -4y = 0 + 4y + -4y 14 + -42x2 + 12x2y + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 14 + -42x2 + 12x2y + -4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -21x2 + 6x2y + -2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -21x2 + 6x2y + -2y)' equal to zero and attempt to solve: Simplifying 7 + -21x2 + 6x2y + -2y = 0 Solving 7 + -21x2 + 6x2y + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -21x2 + 6x2y + -7 + -2y = 0 + -7 Reorder the terms: 7 + -7 + -21x2 + 6x2y + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -21x2 + 6x2y + -2y = 0 + -7 -21x2 + 6x2y + -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -21x2 + 6x2y + -2y = -7 Add '2y' to each side of the equation. -21x2 + 6x2y + -2y + 2y = -7 + 2y Combine like terms: -2y + 2y = 0 -21x2 + 6x2y + 0 = -7 + 2y -21x2 + 6x2y = -7 + 2y 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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