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Simplifying 5x2 = -19x Solving 5x2 = -19x Solving for variable 'x'. Reorder the terms: 19x + 5x2 = -19x + 19x Combine like terms: -19x + 19x = 0 19x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(19 + 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 '(19 + 5x)' equal to zero and attempt to solve: Simplifying 19 + 5x = 0 Solving 19 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 0 + -19 5x = 0 + -19 Combine like terms: 0 + -19 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8Solution
x = {0, -3.8}
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