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