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Simplifying 6x3 + -84x2 + 270x2 = 0 Reorder the terms: -84x2 + 270x2 + 6x3 = 0 Combine like terms: -84x2 + 270x2 = 186x2 186x2 + 6x3 = 0 Solving 186x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(31 + x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(31 + x)' equal to zero and attempt to solve: Simplifying 31 + x = 0 Solving 31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + x = 0 + -31 x = 0 + -31 Combine like terms: 0 + -31 = -31 x = -31 Simplifying x = -31Solution
x = {0, -31}
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