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Simplifying 40 = x(8 + -2x)(10 + -2x) Multiply (8 + -2x) * (10 + -2x) 40 = x(8(10 + -2x) + -2x * (10 + -2x)) 40 = x((10 * 8 + -2x * 8) + -2x * (10 + -2x)) 40 = x((80 + -16x) + -2x * (10 + -2x)) 40 = x(80 + -16x + (10 * -2x + -2x * -2x)) 40 = x(80 + -16x + (-20x + 4x2)) Combine like terms: -16x + -20x = -36x 40 = x(80 + -36x + 4x2) 40 = (80 * x + -36x * x + 4x2 * x) 40 = (80x + -36x2 + 4x3) Solving 40 = 80x + -36x2 + 4x3 Solving for variable 'x'. Reorder the terms: 40 + -80x + 36x2 + -4x3 = 80x + -80x + -36x2 + 36x2 + 4x3 + -4x3 Combine like terms: 80x + -80x = 0 40 + -80x + 36x2 + -4x3 = 0 + -36x2 + 36x2 + 4x3 + -4x3 40 + -80x + 36x2 + -4x3 = -36x2 + 36x2 + 4x3 + -4x3 Combine like terms: -36x2 + 36x2 = 0 40 + -80x + 36x2 + -4x3 = 0 + 4x3 + -4x3 40 + -80x + 36x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 40 + -80x + 36x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(10 + -20x + 9x2 + -1x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + -20x + 9x2 + -1x3)' equal to zero and attempt to solve: Simplifying 10 + -20x + 9x2 + -1x3 = 0 Solving 10 + -20x + 9x2 + -1x3 = 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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