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Simplifying (8x2 + 17x) + 6x2 = 0 Reorder the terms: (17x + 8x2) + 6x2 = 0 Remove parenthesis around (17x + 8x2) 17x + 8x2 + 6x2 = 0 Combine like terms: 8x2 + 6x2 = 14x2 17x + 14x2 = 0 Solving 17x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 14x) = 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 + 14x)' equal to zero and attempt to solve: Simplifying 17 + 14x = 0 Solving 17 + 14x = 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 + 14x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 14x = 0 + -17 14x = 0 + -17 Combine like terms: 0 + -17 = -17 14x = -17 Divide each side by '14'. x = -1.214285714 Simplifying x = -1.214285714Solution
x = {0, -1.214285714}
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