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Simplifying 4(4A + -3)(a + 7) = 0 Reorder the terms: 4(-3 + 4A)(a + 7) = 0 Reorder the terms: 4(-3 + 4A)(7 + a) = 0 Multiply (-3 + 4A) * (7 + a) 4(-3(7 + a) + 4A * (7 + a)) = 0 4((7 * -3 + a * -3) + 4A * (7 + a)) = 0 4((-21 + -3a) + 4A * (7 + a)) = 0 4(-21 + -3a + (7 * 4A + a * 4A)) = 0 4(-21 + -3a + (28A + 4aA)) = 0 Reorder the terms: 4(-21 + 28A + -3a + 4aA) = 0 4(-21 + 28A + -3a + 4aA) = 0 (-21 * 4 + 28A * 4 + -3a * 4 + 4aA * 4) = 0 (-84 + 112A + -12a + 16aA) = 0 Solving -84 + 112A + -12a + 16aA = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 112A + -12a + 84 + 16aA = 0 + 84 Reorder the terms: -84 + 84 + 112A + -12a + 16aA = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 112A + -12a + 16aA = 0 + 84 112A + -12a + 16aA = 0 + 84 Combine like terms: 0 + 84 = 84 112A + -12a + 16aA = 84 Add '12a' to each side of the equation. 112A + -12a + 12a + 16aA = 84 + 12a Combine like terms: -12a + 12a = 0 112A + 0 + 16aA = 84 + 12a 112A + 16aA = 84 + 12a Reorder the terms: -84 + 112A + -12a + 16aA = 84 + 12a + -84 + -12a Reorder the terms: -84 + 112A + -12a + 16aA = 84 + -84 + 12a + -12a Combine like terms: 84 + -84 = 0 -84 + 112A + -12a + 16aA = 0 + 12a + -12a -84 + 112A + -12a + 16aA = 12a + -12a Combine like terms: 12a + -12a = 0 -84 + 112A + -12a + 16aA = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-21 + 28A + -3a + 4aA) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-21 + 28A + -3a + 4aA)' equal to zero and attempt to solve: Simplifying -21 + 28A + -3a + 4aA = 0 Solving -21 + 28A + -3a + 4aA = 0 Move all terms containing A to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 28A + -3a + 21 + 4aA = 0 + 21 Reorder the terms: -21 + 21 + 28A + -3a + 4aA = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 28A + -3a + 4aA = 0 + 21 28A + -3a + 4aA = 0 + 21 Combine like terms: 0 + 21 = 21 28A + -3a + 4aA = 21 Add '3a' to each side of the equation. 28A + -3a + 3a + 4aA = 21 + 3a Combine like terms: -3a + 3a = 0 28A + 0 + 4aA = 21 + 3a 28A + 4aA = 21 + 3a 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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