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Simplifying 7x2 + 21x + -2x = 0 Reorder the terms: 21x + -2x + 7x2 = 0 Combine like terms: 21x + -2x = 19x 19x + 7x2 = 0 Solving 19x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(19 + 7x) = 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 '(19 + 7x)' equal to zero and attempt to solve: Simplifying 19 + 7x = 0 Solving 19 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 7x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 0 + -19 7x = 0 + -19 Combine like terms: 0 + -19 = -19 7x = -19 Divide each side by '7'. x = -2.714285714 Simplifying x = -2.714285714Solution
x = {0, -2.714285714}
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