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Simplifying 8x + 2y(5x + -4) = -12 Reorder the terms: 8x + 2y(-4 + 5x) = -12 8x + (-4 * 2y + 5x * 2y) = -12 Reorder the terms: 8x + (10xy + -8y) = -12 8x + (10xy + -8y) = -12 Solving 8x + 10xy + -8y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 8x + 10xy + -8y + 8y = -12 + 8y Combine like terms: -8y + 8y = 0 8x + 10xy + 0 = -12 + 8y 8x + 10xy = -12 + 8y Reorder the terms: 12 + 8x + 10xy + -8y = -12 + 8y + 12 + -8y Reorder the terms: 12 + 8x + 10xy + -8y = -12 + 12 + 8y + -8y Combine like terms: -12 + 12 = 0 12 + 8x + 10xy + -8y = 0 + 8y + -8y 12 + 8x + 10xy + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 12 + 8x + 10xy + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 4x + 5xy + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + 4x + 5xy + -4y)' equal to zero and attempt to solve: Simplifying 6 + 4x + 5xy + -4y = 0 Solving 6 + 4x + 5xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4x + 5xy + -6 + -4y = 0 + -6 Reorder the terms: 6 + -6 + 4x + 5xy + -4y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4x + 5xy + -4y = 0 + -6 4x + 5xy + -4y = 0 + -6 Combine like terms: 0 + -6 = -6 4x + 5xy + -4y = -6 Add '4y' to each side of the equation. 4x + 5xy + -4y + 4y = -6 + 4y Combine like terms: -4y + 4y = 0 4x + 5xy + 0 = -6 + 4y 4x + 5xy = -6 + 4y 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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