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Simplifying 2x2 + 17x + 30 = 30 Reorder the terms: 30 + 17x + 2x2 = 30 Add '-30' to each side of the equation. 30 + 17x + -30 + 2x2 = 30 + -30 Reorder the terms: 30 + -30 + 17x + 2x2 = 30 + -30 Combine like terms: 30 + -30 = 0 0 + 17x + 2x2 = 30 + -30 17x + 2x2 = 30 + -30 Combine like terms: 30 + -30 = 0 17x + 2x2 = 0 Solving 17x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 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 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Solution
x = {0, -8.5}
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