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Simplifying -7x[2(3x + 1) + 4] = 3x Reorder the terms: -7x[2(1 + 3x) + 4] = 3x -7x[(1 * 2 + 3x * 2) + 4] = 3x -7x[(2 + 6x) + 4] = 3x Reorder the terms: -7x[2 + 4 + 6x] = 3x Combine like terms: 2 + 4 = 6 -7x[6 + 6x] = 3x [6 * -7x + 6x * -7x] = 3x [-42x + -42x2] = 3x Solving -42x + -42x2 = 3x Solving for variable 'x'. Reorder the terms: -42x + -3x + -42x2 = 3x + -3x Combine like terms: -42x + -3x = -45x -45x + -42x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -45x + -42x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(15 + 14x) = 0 Ignore the factor -3.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 '(15 + 14x)' equal to zero and attempt to solve: Simplifying 15 + 14x = 0 Solving 15 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = 0 + -15 14x = 0 + -15 Combine like terms: 0 + -15 = -15 14x = -15 Divide each side by '14'. x = -1.071428571 Simplifying x = -1.071428571Solution
x = {0, -1.071428571}
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