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Simplifying 6x + -2y(3x + -5) = 10 Reorder the terms: 6x + -2y(-5 + 3x) = 10 6x + (-5 * -2y + 3x * -2y) = 10 Reorder the terms: 6x + (-6xy + 10y) = 10 6x + (-6xy + 10y) = 10 Solving 6x + -6xy + 10y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 6x + -6xy + 10y + -10y = 10 + -10y Combine like terms: 10y + -10y = 0 6x + -6xy + 0 = 10 + -10y 6x + -6xy = 10 + -10y Reorder the terms: -10 + 6x + -6xy + 10y = 10 + -10y + -10 + 10y Reorder the terms: -10 + 6x + -6xy + 10y = 10 + -10 + -10y + 10y Combine like terms: 10 + -10 = 0 -10 + 6x + -6xy + 10y = 0 + -10y + 10y -10 + 6x + -6xy + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 -10 + 6x + -6xy + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 3x + -3xy + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 3x + -3xy + 5y)' equal to zero and attempt to solve: Simplifying -5 + 3x + -3xy + 5y = 0 Solving -5 + 3x + -3xy + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3x + -3xy + 5 + 5y = 0 + 5 Reorder the terms: -5 + 5 + 3x + -3xy + 5y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x + -3xy + 5y = 0 + 5 3x + -3xy + 5y = 0 + 5 Combine like terms: 0 + 5 = 5 3x + -3xy + 5y = 5 Add '-5y' to each side of the equation. 3x + -3xy + 5y + -5y = 5 + -5y Combine like terms: 5y + -5y = 0 3x + -3xy + 0 = 5 + -5y 3x + -3xy = 5 + -5y 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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