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Simplifying (7x2 + 2x2) + (5x2 + 22x + 17x) = 0 Combine like terms: 7x2 + 2x2 = 9x2 (9x2) + (5x2 + 22x + 17x) = 0 (9x2) + (5x2 + 22x + 17x) = 0 Reorder the terms: (9x2) + (22x + 17x + 5x2) = 0 Combine like terms: 22x + 17x = 39x (9x2) + (39x + 5x2) = 0 Remove parenthesis around (39x + 5x2) (9x2) + 39x + 5x2 = 0 Reorder the terms: 39x + (9x2) + 5x2 = 0 Combine like terms: (9x2) + 5x2 = 14x2 39x + 14x2 = 0 Solving 39x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(39 + 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 '(39 + 14x)' equal to zero and attempt to solve: Simplifying 39 + 14x = 0 Solving 39 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 14x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 14x = 0 + -39 14x = 0 + -39 Combine like terms: 0 + -39 = -39 14x = -39 Divide each side by '14'. x = -2.785714286 Simplifying x = -2.785714286Solution
x = {0, -2.785714286}
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