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Simplifying 12x * 12 + 5x(x + 2) = 0 Reorder the terms for easier multiplication: 12 * 12x + 5x(x + 2) = 0 Multiply 12 * 12 144x + 5x(x + 2) = 0 Reorder the terms: 144x + 5x(2 + x) = 0 144x + (2 * 5x + x * 5x) = 0 144x + (10x + 5x2) = 0 Combine like terms: 144x + 10x = 154x 154x + 5x2 = 0 Solving 154x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(154 + 5x) = 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 '(154 + 5x)' equal to zero and attempt to solve: Simplifying 154 + 5x = 0 Solving 154 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-154' to each side of the equation. 154 + -154 + 5x = 0 + -154 Combine like terms: 154 + -154 = 0 0 + 5x = 0 + -154 5x = 0 + -154 Combine like terms: 0 + -154 = -154 5x = -154 Divide each side by '5'. x = -30.8 Simplifying x = -30.8Solution
x = {0, -30.8}
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