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Simplifying x(5x + 27) * 36 = 0 Reorder the terms: x(27 + 5x) * 36 = 0 Reorder the terms for easier multiplication: 36x(27 + 5x) = 0 (27 * 36x + 5x * 36x) = 0 (972x + 180x2) = 0 Solving 972x + 180x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '36x'. 36x(27 + 5x) = 0 Ignore the factor 36.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 '(27 + 5x)' equal to zero and attempt to solve: Simplifying 27 + 5x = 0 Solving 27 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 0 + -27 5x = 0 + -27 Combine like terms: 0 + -27 = -27 5x = -27 Divide each side by '5'. x = -5.4 Simplifying x = -5.4Solution
x = {0, -5.4}
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