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Simplifying 72 = (10 + -2x)(10 + -2x) * x Reorder the terms for easier multiplication: 72 = x(10 + -2x)(10 + -2x) Multiply (10 + -2x) * (10 + -2x) 72 = x(10(10 + -2x) + -2x * (10 + -2x)) 72 = x((10 * 10 + -2x * 10) + -2x * (10 + -2x)) 72 = x((100 + -20x) + -2x * (10 + -2x)) 72 = x(100 + -20x + (10 * -2x + -2x * -2x)) 72 = x(100 + -20x + (-20x + 4x2)) Combine like terms: -20x + -20x = -40x 72 = x(100 + -40x + 4x2) 72 = (100 * x + -40x * x + 4x2 * x) 72 = (100x + -40x2 + 4x3) Solving 72 = 100x + -40x2 + 4x3 Solving for variable 'x'. Reorder the terms: 72 + -100x + 40x2 + -4x3 = 100x + -100x + -40x2 + 40x2 + 4x3 + -4x3 Combine like terms: 100x + -100x = 0 72 + -100x + 40x2 + -4x3 = 0 + -40x2 + 40x2 + 4x3 + -4x3 72 + -100x + 40x2 + -4x3 = -40x2 + 40x2 + 4x3 + -4x3 Combine like terms: -40x2 + 40x2 = 0 72 + -100x + 40x2 + -4x3 = 0 + 4x3 + -4x3 72 + -100x + 40x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 72 + -100x + 40x2 + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(18 + -25x + 10x2 + -1x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(18 + -25x + 10x2 + -1x3)' equal to zero and attempt to solve: Simplifying 18 + -25x + 10x2 + -1x3 = 0 Solving 18 + -25x + 10x2 + -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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