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Simplifying 18x2y + -30x2 + -12y + 20 = 0 Reorder the terms: 20 + -30x2 + 18x2y + -12y = 0 Solving 20 + -30x2 + 18x2y + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -30x2 + 18x2y + -20 + -12y = 0 + -20 Reorder the terms: 20 + -20 + -30x2 + 18x2y + -12y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -30x2 + 18x2y + -12y = 0 + -20 -30x2 + 18x2y + -12y = 0 + -20 Combine like terms: 0 + -20 = -20 -30x2 + 18x2y + -12y = -20 Add '12y' to each side of the equation. -30x2 + 18x2y + -12y + 12y = -20 + 12y Combine like terms: -12y + 12y = 0 -30x2 + 18x2y + 0 = -20 + 12y -30x2 + 18x2y = -20 + 12y Reorder the terms: 20 + -30x2 + 18x2y + -12y = -20 + 12y + 20 + -12y Reorder the terms: 20 + -30x2 + 18x2y + -12y = -20 + 20 + 12y + -12y Combine like terms: -20 + 20 = 0 20 + -30x2 + 18x2y + -12y = 0 + 12y + -12y 20 + -30x2 + 18x2y + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 20 + -30x2 + 18x2y + -12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -15x2 + 9x2y + -6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -15x2 + 9x2y + -6y)' equal to zero and attempt to solve: Simplifying 10 + -15x2 + 9x2y + -6y = 0 Solving 10 + -15x2 + 9x2y + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -15x2 + 9x2y + -10 + -6y = 0 + -10 Reorder the terms: 10 + -10 + -15x2 + 9x2y + -6y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -15x2 + 9x2y + -6y = 0 + -10 -15x2 + 9x2y + -6y = 0 + -10 Combine like terms: 0 + -10 = -10 -15x2 + 9x2y + -6y = -10 Add '6y' to each side of the equation. -15x2 + 9x2y + -6y + 6y = -10 + 6y Combine like terms: -6y + 6y = 0 -15x2 + 9x2y + 0 = -10 + 6y -15x2 + 9x2y = -10 + 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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