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Simplifying 3(4x + 6) * 7x = 0 Reorder the terms: 3(6 + 4x) * 7x = 0 Reorder the terms for easier multiplication: 3 * 7x(6 + 4x) = 0 Multiply 3 * 7 21x(6 + 4x) = 0 (6 * 21x + 4x * 21x) = 0 (126x + 84x2) = 0 Solving 126x + 84x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '42x'. 42x(3 + 2x) = 0 Ignore the factor 42.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 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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