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Simplifying -2x2 + -20x2 + -42x = 0 Reorder the terms: -42x + -2x2 + -20x2 = 0 Combine like terms: -2x2 + -20x2 = -22x2 -42x + -22x2 = 0 Solving -42x + -22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(21 + 11x) = 0 Ignore the factor -2.Subproblem 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 '(21 + 11x)' equal to zero and attempt to solve: Simplifying 21 + 11x = 0 Solving 21 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 11x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 11x = 0 + -21 11x = 0 + -21 Combine like terms: 0 + -21 = -21 11x = -21 Divide each side by '11'. x = -1.909090909 Simplifying x = -1.909090909Solution
x = {0, -1.909090909}
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