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Simplifying x3 + -10x + -21x = 0 Reorder the terms: -10x + -21x + x3 = 0 Combine like terms: -10x + -21x = -31x -31x + x3 = 0 Solving -31x + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-31 + x2) = 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 '(-31 + x2)' equal to zero and attempt to solve: Simplifying -31 + x2 = 0 Solving -31 + x2 = 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 + x2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + x2 = 0 + 31 x2 = 0 + 31 Combine like terms: 0 + 31 = 31 x2 = 31 Simplifying x2 = 31 Take the square root of each side: x = {-5.567764363, 5.567764363}Solution
x = {0, -5.567764363, 5.567764363}
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