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Simplifying (30 + -2x)(20 + -2x) * x = 1000 Reorder the terms for easier multiplication: x(30 + -2x)(20 + -2x) = 1000 Multiply (30 + -2x) * (20 + -2x) x(30(20 + -2x) + -2x * (20 + -2x)) = 1000 x((20 * 30 + -2x * 30) + -2x * (20 + -2x)) = 1000 x((600 + -60x) + -2x * (20 + -2x)) = 1000 x(600 + -60x + (20 * -2x + -2x * -2x)) = 1000 x(600 + -60x + (-40x + 4x2)) = 1000 Combine like terms: -60x + -40x = -100x x(600 + -100x + 4x2) = 1000 (600 * x + -100x * x + 4x2 * x) = 1000 (600x + -100x2 + 4x3) = 1000 Solving 600x + -100x2 + 4x3 = 1000 Solving for variable 'x'. Reorder the terms: -1000 + 600x + -100x2 + 4x3 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + 600x + -100x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-250 + 150x + -25x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-250 + 150x + -25x2 + x3)' equal to zero and attempt to solve: Simplifying -250 + 150x + -25x2 + x3 = 0 Solving -250 + 150x + -25x2 + 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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