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Simplifying (5x + -50)(6x2 + 24x + 18) = 0 Reorder the terms: (-50 + 5x)(6x2 + 24x + 18) = 0 Reorder the terms: (-50 + 5x)(18 + 24x + 6x2) = 0 Multiply (-50 + 5x) * (18 + 24x + 6x2) (-50(18 + 24x + 6x2) + 5x * (18 + 24x + 6x2)) = 0 ((18 * -50 + 24x * -50 + 6x2 * -50) + 5x * (18 + 24x + 6x2)) = 0 ((-900 + -1200x + -300x2) + 5x * (18 + 24x + 6x2)) = 0 (-900 + -1200x + -300x2 + (18 * 5x + 24x * 5x + 6x2 * 5x)) = 0 (-900 + -1200x + -300x2 + (90x + 120x2 + 30x3)) = 0 Reorder the terms: (-900 + -1200x + 90x + -300x2 + 120x2 + 30x3) = 0 Combine like terms: -1200x + 90x = -1110x (-900 + -1110x + -300x2 + 120x2 + 30x3) = 0 Combine like terms: -300x2 + 120x2 = -180x2 (-900 + -1110x + -180x2 + 30x3) = 0 Solving -900 + -1110x + -180x2 + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '30'. 30(-30 + -37x + -6x2 + x3) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(-30 + -37x + -6x2 + x3)' equal to zero and attempt to solve: Simplifying -30 + -37x + -6x2 + x3 = 0 Solving -30 + -37x + -6x2 + x3 = 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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