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Simplifying (2x + 6) * x(-7 + 14) = 0 Reorder the terms: (6 + 2x) * x(-7 + 14) = 0 Combine like terms: -7 + 14 = 7 (6 + 2x) * x(7) = 0 Reorder the terms for easier multiplication: 7x(6 + 2x) = 0 (6 * 7x + 2x * 7x) = 0 (42x + 14x2) = 0 Solving 42x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14x'. 14x(3 + x) = 0 Ignore the factor 14.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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