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Simplifying 5x2 + 10x + -27x = 0 Reorder the terms: 10x + -27x + 5x2 = 0 Combine like terms: 10x + -27x = -17x -17x + 5x2 = 0 Solving -17x + 5x2 = 0 Solving for variable 'x'. 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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