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Simplifying 2x(7 + (-2y)) + 12y = 30 (7 * 2x + (-2y) * 2x) + 12y = 30 (14x + -4xy) + 12y = 30 Solving 14x + -4xy + 12y = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 14x + -4xy + 12y + -12y = 30 + -12y Combine like terms: 12y + -12y = 0 14x + -4xy + 0 = 30 + -12y 14x + -4xy = 30 + -12y Reorder the terms: -30 + 14x + -4xy + 12y = 30 + -12y + -30 + 12y Reorder the terms: -30 + 14x + -4xy + 12y = 30 + -30 + -12y + 12y Combine like terms: 30 + -30 = 0 -30 + 14x + -4xy + 12y = 0 + -12y + 12y -30 + 14x + -4xy + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -30 + 14x + -4xy + 12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 7x + -2xy + 6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 7x + -2xy + 6y)' equal to zero and attempt to solve: Simplifying -15 + 7x + -2xy + 6y = 0 Solving -15 + 7x + -2xy + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 7x + -2xy + 15 + 6y = 0 + 15 Reorder the terms: -15 + 15 + 7x + -2xy + 6y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7x + -2xy + 6y = 0 + 15 7x + -2xy + 6y = 0 + 15 Combine like terms: 0 + 15 = 15 7x + -2xy + 6y = 15 Add '-6y' to each side of the equation. 7x + -2xy + 6y + -6y = 15 + -6y Combine like terms: 6y + -6y = 0 7x + -2xy + 0 = 15 + -6y 7x + -2xy = 15 + -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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