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Simplifying 5x(9x + -10) = 0 Reorder the terms: 5x(-10 + 9x) = 0 (-10 * 5x + 9x * 5x) = 0 (-50x + 45x2) = 0 Solving -50x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-10 + 9x) = 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 '(-10 + 9x)' equal to zero and attempt to solve: Simplifying -10 + 9x = 0 Solving -10 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 0 + 10 9x = 0 + 10 Combine like terms: 0 + 10 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111Solution
x = {0, 1.111111111}
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