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Simplifying 8x + 3y(-2x + -6) = -28 Reorder the terms: 8x + 3y(-6 + -2x) = -28 8x + (-6 * 3y + -2x * 3y) = -28 Reorder the terms: 8x + (-6xy + -18y) = -28 8x + (-6xy + -18y) = -28 Solving 8x + -6xy + -18y = -28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 8x + -6xy + -18y + 18y = -28 + 18y Combine like terms: -18y + 18y = 0 8x + -6xy + 0 = -28 + 18y 8x + -6xy = -28 + 18y Reorder the terms: 28 + 8x + -6xy + -18y = -28 + 18y + 28 + -18y Reorder the terms: 28 + 8x + -6xy + -18y = -28 + 28 + 18y + -18y Combine like terms: -28 + 28 = 0 28 + 8x + -6xy + -18y = 0 + 18y + -18y 28 + 8x + -6xy + -18y = 18y + -18y Combine like terms: 18y + -18y = 0 28 + 8x + -6xy + -18y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 4x + -3xy + -9y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + 4x + -3xy + -9y)' equal to zero and attempt to solve: Simplifying 14 + 4x + -3xy + -9y = 0 Solving 14 + 4x + -3xy + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 4x + -3xy + -14 + -9y = 0 + -14 Reorder the terms: 14 + -14 + 4x + -3xy + -9y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4x + -3xy + -9y = 0 + -14 4x + -3xy + -9y = 0 + -14 Combine like terms: 0 + -14 = -14 4x + -3xy + -9y = -14 Add '9y' to each side of the equation. 4x + -3xy + -9y + 9y = -14 + 9y Combine like terms: -9y + 9y = 0 4x + -3xy + 0 = -14 + 9y 4x + -3xy = -14 + 9y 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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