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Simplifying 2x(9x2 + 25x) = 0 Reorder the terms: 2x(25x + 9x2) = 0 (25x * 2x + 9x2 * 2x) = 0 (50x2 + 18x3) = 0 Solving 50x2 + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(25 + 9x) = 0 Ignore the factor 2.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 '(25 + 9x)' equal to zero and attempt to solve: Simplifying 25 + 9x = 0 Solving 25 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 9x = 0 + -25 9x = 0 + -25 Combine like terms: 0 + -25 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778Solution
x = {0, -2.777777778}
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