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Simplifying (x + -1)(2a + 10b) = 0 Reorder the terms: (-1 + x)(2a + 10b) = 0 Multiply (-1 + x) * (2a + 10b) (-1(2a + 10b) + x(2a + 10b)) = 0 ((2a * -1 + 10b * -1) + x(2a + 10b)) = 0 ((-2a + -10b) + x(2a + 10b)) = 0 (-2a + -10b + (2a * x + 10b * x)) = 0 (-2a + -10b + (2ax + 10bx)) = 0 Reorder the terms: (-2a + 2ax + -10b + 10bx) = 0 (-2a + 2ax + -10b + 10bx) = 0 Solving -2a + 2ax + -10b + 10bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. -2a + 2ax + -10b + 10b + 10bx = 0 + 10b Combine like terms: -10b + 10b = 0 -2a + 2ax + 0 + 10bx = 0 + 10b -2a + 2ax + 10bx = 0 + 10b Remove the zero: -2a + 2ax + 10bx = 10b Add '-10bx' to each side of the equation. -2a + 2ax + 10bx + -10bx = 10b + -10bx Combine like terms: 10bx + -10bx = 0 -2a + 2ax + 0 = 10b + -10bx -2a + 2ax = 10b + -10bx Reorder the terms: -2a + 2ax + -10b + 10bx = 10b + -10b + -10bx + 10bx Combine like terms: 10b + -10b = 0 -2a + 2ax + -10b + 10bx = 0 + -10bx + 10bx -2a + 2ax + -10b + 10bx = -10bx + 10bx Combine like terms: -10bx + 10bx = 0 -2a + 2ax + -10b + 10bx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1a + ax + -5b + 5bx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1a + ax + -5b + 5bx)' equal to zero and attempt to solve: Simplifying -1a + ax + -5b + 5bx = 0 Solving -1a + ax + -5b + 5bx = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -1a + ax + -5b + 5b + 5bx = 0 + 5b Combine like terms: -5b + 5b = 0 -1a + ax + 0 + 5bx = 0 + 5b -1a + ax + 5bx = 0 + 5b Remove the zero: -1a + ax + 5bx = 5b Add '-5bx' to each side of the equation. -1a + ax + 5bx + -5bx = 5b + -5bx Combine like terms: 5bx + -5bx = 0 -1a + ax + 0 = 5b + -5bx -1a + ax = 5b + -5bx 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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