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Simplifying 1500 = x(x + 10)(30 + -2x) Reorder the terms: 1500 = x(10 + x)(30 + -2x) Multiply (10 + x) * (30 + -2x) 1500 = x(10(30 + -2x) + x(30 + -2x)) 1500 = x((30 * 10 + -2x * 10) + x(30 + -2x)) 1500 = x((300 + -20x) + x(30 + -2x)) 1500 = x(300 + -20x + (30 * x + -2x * x)) 1500 = x(300 + -20x + (30x + -2x2)) Combine like terms: -20x + 30x = 10x 1500 = x(300 + 10x + -2x2) 1500 = (300 * x + 10x * x + -2x2 * x) 1500 = (300x + 10x2 + -2x3) Solving 1500 = 300x + 10x2 + -2x3 Solving for variable 'x'. Reorder the terms: 1500 + -300x + -10x2 + 2x3 = 300x + -300x + 10x2 + -10x2 + -2x3 + 2x3 Combine like terms: 300x + -300x = 0 1500 + -300x + -10x2 + 2x3 = 0 + 10x2 + -10x2 + -2x3 + 2x3 1500 + -300x + -10x2 + 2x3 = 10x2 + -10x2 + -2x3 + 2x3 Combine like terms: 10x2 + -10x2 = 0 1500 + -300x + -10x2 + 2x3 = 0 + -2x3 + 2x3 1500 + -300x + -10x2 + 2x3 = -2x3 + 2x3 Combine like terms: -2x3 + 2x3 = 0 1500 + -300x + -10x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(750 + -150x + -5x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(750 + -150x + -5x2 + x3)' equal to zero and attempt to solve: Simplifying 750 + -150x + -5x2 + x3 = 0 Solving 750 + -150x + -5x2 + 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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