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Simplifying (6y + -4)(8a + 7) = 0 Reorder the terms: (-4 + 6y)(8a + 7) = 0 Reorder the terms: (-4 + 6y)(7 + 8a) = 0 Multiply (-4 + 6y) * (7 + 8a) (-4(7 + 8a) + 6y * (7 + 8a)) = 0 ((7 * -4 + 8a * -4) + 6y * (7 + 8a)) = 0 ((-28 + -32a) + 6y * (7 + 8a)) = 0 (-28 + -32a + (7 * 6y + 8a * 6y)) = 0 Reorder the terms: (-28 + -32a + (48ay + 42y)) = 0 (-28 + -32a + (48ay + 42y)) = 0 (-28 + -32a + 48ay + 42y) = 0 Solving -28 + -32a + 48ay + 42y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -32a + 48ay + 28 + 42y = 0 + 28 Reorder the terms: -28 + 28 + -32a + 48ay + 42y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -32a + 48ay + 42y = 0 + 28 -32a + 48ay + 42y = 0 + 28 Combine like terms: 0 + 28 = 28 -32a + 48ay + 42y = 28 Add '-42y' to each side of the equation. -32a + 48ay + 42y + -42y = 28 + -42y Combine like terms: 42y + -42y = 0 -32a + 48ay + 0 = 28 + -42y -32a + 48ay = 28 + -42y Reorder the terms: -28 + -32a + 48ay + 42y = 28 + -42y + -28 + 42y Reorder the terms: -28 + -32a + 48ay + 42y = 28 + -28 + -42y + 42y Combine like terms: 28 + -28 = 0 -28 + -32a + 48ay + 42y = 0 + -42y + 42y -28 + -32a + 48ay + 42y = -42y + 42y Combine like terms: -42y + 42y = 0 -28 + -32a + 48ay + 42y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -16a + 24ay + 21y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -16a + 24ay + 21y)' equal to zero and attempt to solve: Simplifying -14 + -16a + 24ay + 21y = 0 Solving -14 + -16a + 24ay + 21y = 0 Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -16a + 24ay + 14 + 21y = 0 + 14 Reorder the terms: -14 + 14 + -16a + 24ay + 21y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -16a + 24ay + 21y = 0 + 14 -16a + 24ay + 21y = 0 + 14 Combine like terms: 0 + 14 = 14 -16a + 24ay + 21y = 14 Add '-21y' to each side of the equation. -16a + 24ay + 21y + -21y = 14 + -21y Combine like terms: 21y + -21y = 0 -16a + 24ay + 0 = 14 + -21y -16a + 24ay = 14 + -21y 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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