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Simplifying (2x + 10)(2x + 25)(x + -5) = 0 Reorder the terms: (10 + 2x)(2x + 25)(x + -5) = 0 Reorder the terms: (10 + 2x)(25 + 2x)(x + -5) = 0 Reorder the terms: (10 + 2x)(25 + 2x)(-5 + x) = 0 Multiply (10 + 2x) * (25 + 2x) (10(25 + 2x) + 2x * (25 + 2x))(-5 + x) = 0 ((25 * 10 + 2x * 10) + 2x * (25 + 2x))(-5 + x) = 0 ((250 + 20x) + 2x * (25 + 2x))(-5 + x) = 0 (250 + 20x + (25 * 2x + 2x * 2x))(-5 + x) = 0 (250 + 20x + (50x + 4x2))(-5 + x) = 0 Combine like terms: 20x + 50x = 70x (250 + 70x + 4x2)(-5 + x) = 0 Multiply (250 + 70x + 4x2) * (-5 + x) (250(-5 + x) + 70x * (-5 + x) + 4x2 * (-5 + x)) = 0 ((-5 * 250 + x * 250) + 70x * (-5 + x) + 4x2 * (-5 + x)) = 0 ((-1250 + 250x) + 70x * (-5 + x) + 4x2 * (-5 + x)) = 0 (-1250 + 250x + (-5 * 70x + x * 70x) + 4x2 * (-5 + x)) = 0 (-1250 + 250x + (-350x + 70x2) + 4x2 * (-5 + x)) = 0 (-1250 + 250x + -350x + 70x2 + (-5 * 4x2 + x * 4x2)) = 0 (-1250 + 250x + -350x + 70x2 + (-20x2 + 4x3)) = 0 Combine like terms: 250x + -350x = -100x (-1250 + -100x + 70x2 + -20x2 + 4x3) = 0 Combine like terms: 70x2 + -20x2 = 50x2 (-1250 + -100x + 50x2 + 4x3) = 0 Solving -1250 + -100x + 50x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-625 + -50x + 25x2 + 2x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-625 + -50x + 25x2 + 2x3)' equal to zero and attempt to solve: Simplifying -625 + -50x + 25x2 + 2x3 = 0 Solving -625 + -50x + 25x2 + 2x3 = 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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