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Simplifying 2x + 3y(10 + -2x) = 12 2x + (10 * 3y + -2x * 3y) = 12 Reorder the terms: 2x + (-6xy + 30y) = 12 2x + (-6xy + 30y) = 12 Solving 2x + -6xy + 30y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 2x + -6xy + 30y + -30y = 12 + -30y Combine like terms: 30y + -30y = 0 2x + -6xy + 0 = 12 + -30y 2x + -6xy = 12 + -30y Reorder the terms: -12 + 2x + -6xy + 30y = 12 + -30y + -12 + 30y Reorder the terms: -12 + 2x + -6xy + 30y = 12 + -12 + -30y + 30y Combine like terms: 12 + -12 = 0 -12 + 2x + -6xy + 30y = 0 + -30y + 30y -12 + 2x + -6xy + 30y = -30y + 30y Combine like terms: -30y + 30y = 0 -12 + 2x + -6xy + 30y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + x + -3xy + 15y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + x + -3xy + 15y)' equal to zero and attempt to solve: Simplifying -6 + x + -3xy + 15y = 0 Solving -6 + x + -3xy + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + x + -3xy + 6 + 15y = 0 + 6 Reorder the terms: -6 + 6 + x + -3xy + 15y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x + -3xy + 15y = 0 + 6 x + -3xy + 15y = 0 + 6 Combine like terms: 0 + 6 = 6 x + -3xy + 15y = 6 Add '-15y' to each side of the equation. x + -3xy + 15y + -15y = 6 + -15y Combine like terms: 15y + -15y = 0 x + -3xy + 0 = 6 + -15y x + -3xy = 6 + -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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