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Simplifying 4x(x + 5) = 4x + 5x Reorder the terms: 4x(5 + x) = 4x + 5x (5 * 4x + x * 4x) = 4x + 5x (20x + 4x2) = 4x + 5x Combine like terms: 4x + 5x = 9x 20x + 4x2 = 9x Solving 20x + 4x2 = 9x Solving for variable 'x'. Reorder the terms: 20x + -9x + 4x2 = 9x + -9x Combine like terms: 20x + -9x = 11x 11x + 4x2 = 9x + -9x Combine like terms: 9x + -9x = 0 11x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 4x) = 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 '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Solution
x = {0, -2.75}
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