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Simplifying (x + -8)(2a + 10) = 0 Reorder the terms: (-8 + x)(2a + 10) = 0 Reorder the terms: (-8 + x)(10 + 2a) = 0 Multiply (-8 + x) * (10 + 2a) (-8(10 + 2a) + x(10 + 2a)) = 0 ((10 * -8 + 2a * -8) + x(10 + 2a)) = 0 ((-80 + -16a) + x(10 + 2a)) = 0 (-80 + -16a + (10 * x + 2a * x)) = 0 Reorder the terms: (-80 + -16a + (2ax + 10x)) = 0 (-80 + -16a + (2ax + 10x)) = 0 (-80 + -16a + 2ax + 10x) = 0 Solving -80 + -16a + 2ax + 10x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '80' to each side of the equation. -80 + -16a + 2ax + 80 + 10x = 0 + 80 Reorder the terms: -80 + 80 + -16a + 2ax + 10x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -16a + 2ax + 10x = 0 + 80 -16a + 2ax + 10x = 0 + 80 Combine like terms: 0 + 80 = 80 -16a + 2ax + 10x = 80 Add '-10x' to each side of the equation. -16a + 2ax + 10x + -10x = 80 + -10x Combine like terms: 10x + -10x = 0 -16a + 2ax + 0 = 80 + -10x -16a + 2ax = 80 + -10x Reorder the terms: -80 + -16a + 2ax + 10x = 80 + -10x + -80 + 10x Reorder the terms: -80 + -16a + 2ax + 10x = 80 + -80 + -10x + 10x Combine like terms: 80 + -80 = 0 -80 + -16a + 2ax + 10x = 0 + -10x + 10x -80 + -16a + 2ax + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -80 + -16a + 2ax + 10x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + -8a + ax + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + -8a + ax + 5x)' equal to zero and attempt to solve: Simplifying -40 + -8a + ax + 5x = 0 Solving -40 + -8a + ax + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -8a + ax + 40 + 5x = 0 + 40 Reorder the terms: -40 + 40 + -8a + ax + 5x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -8a + ax + 5x = 0 + 40 -8a + ax + 5x = 0 + 40 Combine like terms: 0 + 40 = 40 -8a + ax + 5x = 40 Add '-5x' to each side of the equation. -8a + ax + 5x + -5x = 40 + -5x Combine like terms: 5x + -5x = 0 -8a + ax + 0 = 40 + -5x -8a + ax = 40 + -5x 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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