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Simplifying 5x + 9x(x + -5) = 0 Reorder the terms: 5x + 9x(-5 + x) = 0 5x + (-5 * 9x + x * 9x) = 0 5x + (-45x + 9x2) = 0 Combine like terms: 5x + -45x = -40x -40x + 9x2 = 0 Solving -40x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-40 + 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 '(-40 + 9x)' equal to zero and attempt to solve: Simplifying -40 + 9x = 0 Solving -40 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 9x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 0 + 40 9x = 0 + 40 Combine like terms: 0 + 40 = 40 9x = 40 Divide each side by '9'. x = 4.444444444 Simplifying x = 4.444444444Solution
x = {0, 4.444444444}
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