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Simplifying 9x2 + 30x + 25x = 0 Reorder the terms: 30x + 25x + 9x2 = 0 Combine like terms: 30x + 25x = 55x 55x + 9x2 = 0 Solving 55x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(55 + 9x) = 0Subproblem 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 '(55 + 9x)' equal to zero and attempt to solve: Simplifying 55 + 9x = 0 Solving 55 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 9x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 9x = 0 + -55 9x = 0 + -55 Combine like terms: 0 + -55 = -55 9x = -55 Divide each side by '9'. x = -6.111111111 Simplifying x = -6.111111111Solution
x = {0, -6.111111111}
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