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Simplifying 0 = -5x2 + 30x2 + -45x Reorder the terms: 0 = -45x + -5x2 + 30x2 Combine like terms: -5x2 + 30x2 = 25x2 0 = -45x + 25x2 Solving 0 = -45x + 25x2 Solving for variable 'x'. Remove the zero: 45x + -25x2 = -45x + 25x2 + 45x + -25x2 Reorder the terms: 45x + -25x2 = -45x + 45x + 25x2 + -25x2 Combine like terms: -45x + 45x = 0 45x + -25x2 = 0 + 25x2 + -25x2 45x + -25x2 = 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 45x + -25x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(9 + -5x) = 0 Ignore the factor 5.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 '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {0, 1.8}
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