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Simplifying 3x2 + 5x = -8x Reorder the terms: 5x + 3x2 = -8x Solving 5x + 3x2 = -8x Solving for variable 'x'. Reorder the terms: 5x + 8x + 3x2 = -8x + 8x Combine like terms: 5x + 8x = 13x 13x + 3x2 = -8x + 8x Combine like terms: -8x + 8x = 0 13x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(13 + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying 13 + 3x = 0 Solving 13 + 3x = 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 + 3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 0 + -13 3x = 0 + -13 Combine like terms: 0 + -13 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333Solution
x = {0, -4.333333333}
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