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Simplifying (2x + -4)(8y + 9) = 0 Reorder the terms: (-4 + 2x)(8y + 9) = 0 Reorder the terms: (-4 + 2x)(9 + 8y) = 0 Multiply (-4 + 2x) * (9 + 8y) (-4(9 + 8y) + 2x * (9 + 8y)) = 0 ((9 * -4 + 8y * -4) + 2x * (9 + 8y)) = 0 ((-36 + -32y) + 2x * (9 + 8y)) = 0 (-36 + -32y + (9 * 2x + 8y * 2x)) = 0 (-36 + -32y + (18x + 16xy)) = 0 Reorder the terms: (-36 + 18x + 16xy + -32y) = 0 (-36 + 18x + 16xy + -32y) = 0 Solving -36 + 18x + 16xy + -32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 18x + 16xy + 36 + -32y = 0 + 36 Reorder the terms: -36 + 36 + 18x + 16xy + -32y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18x + 16xy + -32y = 0 + 36 18x + 16xy + -32y = 0 + 36 Combine like terms: 0 + 36 = 36 18x + 16xy + -32y = 36 Add '32y' to each side of the equation. 18x + 16xy + -32y + 32y = 36 + 32y Combine like terms: -32y + 32y = 0 18x + 16xy + 0 = 36 + 32y 18x + 16xy = 36 + 32y Reorder the terms: -36 + 18x + 16xy + -32y = 36 + 32y + -36 + -32y Reorder the terms: -36 + 18x + 16xy + -32y = 36 + -36 + 32y + -32y Combine like terms: 36 + -36 = 0 -36 + 18x + 16xy + -32y = 0 + 32y + -32y -36 + 18x + 16xy + -32y = 32y + -32y Combine like terms: 32y + -32y = 0 -36 + 18x + 16xy + -32y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 9x + 8xy + -16y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 9x + 8xy + -16y)' equal to zero and attempt to solve: Simplifying -18 + 9x + 8xy + -16y = 0 Solving -18 + 9x + 8xy + -16y = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 9x + 8xy + 18 + -16y = 0 + 18 Reorder the terms: -18 + 18 + 9x + 8xy + -16y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9x + 8xy + -16y = 0 + 18 9x + 8xy + -16y = 0 + 18 Combine like terms: 0 + 18 = 18 9x + 8xy + -16y = 18 Add '16y' to each side of the equation. 9x + 8xy + -16y + 16y = 18 + 16y Combine like terms: -16y + 16y = 0 9x + 8xy + 0 = 18 + 16y 9x + 8xy = 18 + 16y 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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