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Simplifying -4x(7x + 2) + 7x(1 + 2x) = 0 Reorder the terms: -4x(2 + 7x) + 7x(1 + 2x) = 0 (2 * -4x + 7x * -4x) + 7x(1 + 2x) = 0 (-8x + -28x2) + 7x(1 + 2x) = 0 -8x + -28x2 + (1 * 7x + 2x * 7x) = 0 -8x + -28x2 + (7x + 14x2) = 0 Reorder the terms: -8x + 7x + -28x2 + 14x2 = 0 Combine like terms: -8x + 7x = -1x -1x + -28x2 + 14x2 = 0 Combine like terms: -28x2 + 14x2 = -14x2 -1x + -14x2 = 0 Solving -1x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 14x) = 0 Ignore the factor -1.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 '(1 + 14x)' equal to zero and attempt to solve: Simplifying 1 + 14x = 0 Solving 1 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 14x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 0 + -1 14x = 0 + -1 Combine like terms: 0 + -1 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143Solution
x = {0, -0.07142857143}
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