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Simplifying 2x + 5y(-2x + 4) = -12 Reorder the terms: 2x + 5y(4 + -2x) = -12 2x + (4 * 5y + -2x * 5y) = -12 Reorder the terms: 2x + (-10xy + 20y) = -12 2x + (-10xy + 20y) = -12 Solving 2x + -10xy + 20y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 2x + -10xy + 20y + -20y = -12 + -20y Combine like terms: 20y + -20y = 0 2x + -10xy + 0 = -12 + -20y 2x + -10xy = -12 + -20y Reorder the terms: 12 + 2x + -10xy + 20y = -12 + -20y + 12 + 20y Reorder the terms: 12 + 2x + -10xy + 20y = -12 + 12 + -20y + 20y Combine like terms: -12 + 12 = 0 12 + 2x + -10xy + 20y = 0 + -20y + 20y 12 + 2x + -10xy + 20y = -20y + 20y Combine like terms: -20y + 20y = 0 12 + 2x + -10xy + 20y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + x + -5xy + 10y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + x + -5xy + 10y)' equal to zero and attempt to solve: Simplifying 6 + x + -5xy + 10y = 0 Solving 6 + x + -5xy + 10y = 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 + -5xy + -6 + 10y = 0 + -6 Reorder the terms: 6 + -6 + x + -5xy + 10y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x + -5xy + 10y = 0 + -6 x + -5xy + 10y = 0 + -6 Combine like terms: 0 + -6 = -6 x + -5xy + 10y = -6 Add '-10y' to each side of the equation. x + -5xy + 10y + -10y = -6 + -10y Combine like terms: 10y + -10y = 0 x + -5xy + 0 = -6 + -10y x + -5xy = -6 + -10y 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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