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Simplifying 5x2 = -13x Solving 5x2 = -13x Solving for variable 'x'. Reorder the terms: 13x + 5x2 = -13x + 13x Combine like terms: -13x + 13x = 0 13x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(13 + 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 '(13 + 5x)' equal to zero and attempt to solve: Simplifying 13 + 5x = 0 Solving 13 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 0 + -13 5x = 0 + -13 Combine like terms: 0 + -13 = -13 5x = -13 Divide each side by '5'. x = -2.6 Simplifying x = -2.6Solution
x = {0, -2.6}
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