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Simplifying x2 + -11x2 + -42x = 0 Reorder the terms: -42x + x2 + -11x2 = 0 Combine like terms: x2 + -11x2 = -10x2 -42x + -10x2 = 0 Solving -42x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(21 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying 21 + 5x = 0 Solving 21 + 5x = 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 + 5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 0 + -21 5x = 0 + -21 Combine like terms: 0 + -21 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2Solution
x = {0, -4.2}
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