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Simplifying 6x2y + 8x2 + -30y + -40 = 0 Reorder the terms: -40 + 8x2 + 6x2y + -30y = 0 Solving -40 + 8x2 + 6x2y + -30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 8x2 + 6x2y + 40 + -30y = 0 + 40 Reorder the terms: -40 + 40 + 8x2 + 6x2y + -30y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8x2 + 6x2y + -30y = 0 + 40 8x2 + 6x2y + -30y = 0 + 40 Combine like terms: 0 + 40 = 40 8x2 + 6x2y + -30y = 40 Add '30y' to each side of the equation. 8x2 + 6x2y + -30y + 30y = 40 + 30y Combine like terms: -30y + 30y = 0 8x2 + 6x2y + 0 = 40 + 30y 8x2 + 6x2y = 40 + 30y Reorder the terms: -40 + 8x2 + 6x2y + -30y = 40 + 30y + -40 + -30y Reorder the terms: -40 + 8x2 + 6x2y + -30y = 40 + -40 + 30y + -30y Combine like terms: 40 + -40 = 0 -40 + 8x2 + 6x2y + -30y = 0 + 30y + -30y -40 + 8x2 + 6x2y + -30y = 30y + -30y Combine like terms: 30y + -30y = 0 -40 + 8x2 + 6x2y + -30y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 4x2 + 3x2y + -15y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 4x2 + 3x2y + -15y)' equal to zero and attempt to solve: Simplifying -20 + 4x2 + 3x2y + -15y = 0 Solving -20 + 4x2 + 3x2y + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 4x2 + 3x2y + 20 + -15y = 0 + 20 Reorder the terms: -20 + 20 + 4x2 + 3x2y + -15y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4x2 + 3x2y + -15y = 0 + 20 4x2 + 3x2y + -15y = 0 + 20 Combine like terms: 0 + 20 = 20 4x2 + 3x2y + -15y = 20 Add '15y' to each side of the equation. 4x2 + 3x2y + -15y + 15y = 20 + 15y Combine like terms: -15y + 15y = 0 4x2 + 3x2y + 0 = 20 + 15y 4x2 + 3x2y = 20 + 15y 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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