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Simplifying 0 = 9x3 + -25x2 Reorder the terms: 0 = -25x2 + 9x3 Solving 0 = -25x2 + 9x3 Solving for variable 'x'. Remove the zero: 25x2 + -9x3 = -25x2 + 9x3 + 25x2 + -9x3 Reorder the terms: 25x2 + -9x3 = -25x2 + 25x2 + 9x3 + -9x3 Combine like terms: -25x2 + 25x2 = 0 25x2 + -9x3 = 0 + 9x3 + -9x3 25x2 + -9x3 = 9x3 + -9x3 Combine like terms: 9x3 + -9x3 = 0 25x2 + -9x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(25 + -9x) = 0Subproblem 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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