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Simplifying 2p(a + -1b) + -4(a + -1b) = 0 (a * 2p + -1b * 2p) + -4(a + -1b) = 0 (2ap + -2bp) + -4(a + -1b) = 0 2ap + -2bp + (a * -4 + -1b * -4) = 0 2ap + -2bp + (-4a + 4b) = 0 Reorder the terms: -4a + 2ap + 4b + -2bp = 0 Solving -4a + 2ap + 4b + -2bp = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -4a + 2ap + 4b + -4b + -2bp = 0 + -4b Combine like terms: 4b + -4b = 0 -4a + 2ap + 0 + -2bp = 0 + -4b -4a + 2ap + -2bp = 0 + -4b Remove the zero: -4a + 2ap + -2bp = -4b Add '2bp' to each side of the equation. -4a + 2ap + -2bp + 2bp = -4b + 2bp Combine like terms: -2bp + 2bp = 0 -4a + 2ap + 0 = -4b + 2bp -4a + 2ap = -4b + 2bp Reorder the terms: -4a + 2ap + 4b + -2bp = -4b + 4b + 2bp + -2bp Combine like terms: -4b + 4b = 0 -4a + 2ap + 4b + -2bp = 0 + 2bp + -2bp -4a + 2ap + 4b + -2bp = 2bp + -2bp Combine like terms: 2bp + -2bp = 0 -4a + 2ap + 4b + -2bp = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2a + ap + 2b + -1bp) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2a + ap + 2b + -1bp)' equal to zero and attempt to solve: Simplifying -2a + ap + 2b + -1bp = 0 Solving -2a + ap + 2b + -1bp = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -2a + ap + 2b + -2b + -1bp = 0 + -2b Combine like terms: 2b + -2b = 0 -2a + ap + 0 + -1bp = 0 + -2b -2a + ap + -1bp = 0 + -2b Remove the zero: -2a + ap + -1bp = -2b Add 'bp' to each side of the equation. -2a + ap + -1bp + bp = -2b + bp Combine like terms: -1bp + bp = 0 -2a + ap + 0 = -2b + bp -2a + ap = -2b + bp 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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