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Simplifying 14x(10x + 6) = 0 Reorder the terms: 14x(6 + 10x) = 0 (6 * 14x + 10x * 14x) = 0 (84x + 140x2) = 0 Solving 84x + 140x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '28x'. 28x(3 + 5x) = 0 Ignore the factor 28.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 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {0, -0.6}
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