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Simplifying 5x2 + 42x = 0 Reorder the terms: 42x + 5x2 = 0 Solving 42x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(42 + 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 '(42 + 5x)' equal to zero and attempt to solve: Simplifying 42 + 5x = 0 Solving 42 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 5x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 0 + -42 5x = 0 + -42 Combine like terms: 0 + -42 = -42 5x = -42 Divide each side by '5'. x = -8.4 Simplifying x = -8.4Solution
x = {0, -8.4}
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