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Simplifying (40x2)(2 + 20x) = 0 Remove parenthesis around (40x2) 40x2(2 + 20x) = 0 (2 * 40x2 + 20x * 40x2) = 0 (80x2 + 800x3) = 0 Solving 80x2 + 800x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '80x2'. 80x2(1 + 10x) = 0 Ignore the factor 80.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1Solution
x = {0, -0.1}
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