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Simplifying 5x2 + 13x + -6 = -6 + -4x Reorder the terms: -6 + 13x + 5x2 = -6 + -4x Add '6' to each side of the equation. -6 + 13x + 6 + 5x2 = -6 + 6 + -4x Reorder the terms: -6 + 6 + 13x + 5x2 = -6 + 6 + -4x Combine like terms: -6 + 6 = 0 0 + 13x + 5x2 = -6 + 6 + -4x 13x + 5x2 = -6 + 6 + -4x Combine like terms: -6 + 6 = 0 13x + 5x2 = 0 + -4x 13x + 5x2 = -4x Solving 13x + 5x2 = -4x Solving for variable 'x'. Reorder the terms: 13x + 4x + 5x2 = -4x + 4x Combine like terms: 13x + 4x = 17x 17x + 5x2 = -4x + 4x Combine like terms: -4x + 4x = 0 17x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 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 '(17 + 5x)' equal to zero and attempt to solve: Simplifying 17 + 5x = 0 Solving 17 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 0 + -17 5x = 0 + -17 Combine like terms: 0 + -17 = -17 5x = -17 Divide each side by '5'. x = -3.4 Simplifying x = -3.4Solution
x = {0, -3.4}
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