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Simplifying (2x2 + 7x) + (x2 + 7x) = 0 Reorder the terms: (7x + 2x2) + (x2 + 7x) = 0 Remove parenthesis around (7x + 2x2) 7x + 2x2 + (x2 + 7x) = 0 Reorder the terms: 7x + 2x2 + (7x + x2) = 0 Remove parenthesis around (7x + x2) 7x + 2x2 + 7x + x2 = 0 Reorder the terms: 7x + 7x + 2x2 + x2 = 0 Combine like terms: 7x + 7x = 14x 14x + 2x2 + x2 = 0 Combine like terms: 2x2 + x2 = 3x2 14x + 3x2 = 0 Solving 14x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 3x) = 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 '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667Solution
x = {0, -4.666666667}
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