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Simplifying 20x3 + -254x = 0 Reorder the terms: -254x + 20x3 = 0 Solving -254x + 20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-127 + 10x2) = 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 '(-127 + 10x2)' equal to zero and attempt to solve: Simplifying -127 + 10x2 = 0 Solving -127 + 10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + 10x2 = 0 + 127 Combine like terms: -127 + 127 = 0 0 + 10x2 = 0 + 127 10x2 = 0 + 127 Combine like terms: 0 + 127 = 127 10x2 = 127 Divide each side by '10'. x2 = 12.7 Simplifying x2 = 12.7 Take the square root of each side: x = {-3.563705936, 3.563705936}Solution
x = {0, -3.563705936, 3.563705936}
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