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Simplifying 2x3 = 40x Solving 2x3 = 40x Solving for variable 'x'. Reorder the terms: -40x + 2x3 = 40x + -40x Combine like terms: 40x + -40x = 0 -40x + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-20 + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-20 + x2)' equal to zero and attempt to solve: Simplifying -20 + x2 = 0 Solving -20 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x2 = 0 + 20 x2 = 0 + 20 Combine like terms: 0 + 20 = 20 x2 = 20 Simplifying x2 = 20 Take the square root of each side: x = {-4.472135955, 4.472135955}Solution
x = {0, -4.472135955, 4.472135955}
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