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Simplifying 14x(2x + 3) + -6x(5 + -7x) = 0 Reorder the terms: 14x(3 + 2x) + -6x(5 + -7x) = 0 (3 * 14x + 2x * 14x) + -6x(5 + -7x) = 0 (42x + 28x2) + -6x(5 + -7x) = 0 42x + 28x2 + (5 * -6x + -7x * -6x) = 0 42x + 28x2 + (-30x + 42x2) = 0 Reorder the terms: 42x + -30x + 28x2 + 42x2 = 0 Combine like terms: 42x + -30x = 12x 12x + 28x2 + 42x2 = 0 Combine like terms: 28x2 + 42x2 = 70x2 12x + 70x2 = 0 Solving 12x + 70x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6 + 35x) = 0 Ignore the factor 2.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 '(6 + 35x)' equal to zero and attempt to solve: Simplifying 6 + 35x = 0 Solving 6 + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 35x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 35x = 0 + -6 35x = 0 + -6 Combine like terms: 0 + -6 = -6 35x = -6 Divide each side by '35'. x = -0.1714285714 Simplifying x = -0.1714285714Solution
x = {0, -0.1714285714}
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