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Simplifying 32(a + -1b) * a + -142(a + -1b) = 2(a + -1b) Reorder the terms for easier multiplication: 32a(a + -1b) + -142(a + -1b) = 2(a + -1b) (a * 32a + -1b * 32a) + -142(a + -1b) = 2(a + -1b) Reorder the terms: (-32ab + 32a2) + -142(a + -1b) = 2(a + -1b) (-32ab + 32a2) + -142(a + -1b) = 2(a + -1b) -32ab + 32a2 + (a * -142 + -1b * -142) = 2(a + -1b) -32ab + 32a2 + (-142a + 142b) = 2(a + -1b) Reorder the terms: -142a + -32ab + 32a2 + 142b = 2(a + -1b) -142a + -32ab + 32a2 + 142b = (a * 2 + -1b * 2) -142a + -32ab + 32a2 + 142b = (2a + -2b) Solving -142a + -32ab + 32a2 + 142b = 2a + -2b Solving for variable 'a'. Reorder the terms: -142a + -2a + -32ab + 32a2 + 142b + 2b = 2a + -2b + -2a + 2b Combine like terms: -142a + -2a = -144a -144a + -32ab + 32a2 + 142b + 2b = 2a + -2b + -2a + 2b Combine like terms: 142b + 2b = 144b -144a + -32ab + 32a2 + 144b = 2a + -2b + -2a + 2b Reorder the terms: -144a + -32ab + 32a2 + 144b = 2a + -2a + -2b + 2b Combine like terms: 2a + -2a = 0 -144a + -32ab + 32a2 + 144b = 0 + -2b + 2b -144a + -32ab + 32a2 + 144b = -2b + 2b Combine like terms: -2b + 2b = 0 -144a + -32ab + 32a2 + 144b = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-9a + -2ab + 2a2 + 9b) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-9a + -2ab + 2a2 + 9b)' equal to zero and attempt to solve: Simplifying -9a + -2ab + 2a2 + 9b = 0 Solving -9a + -2ab + 2a2 + 9b = 0 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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