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Simplifying 14x2 + 44x + 29 = -1 + 7x2 + -3x Reorder the terms: 29 + 44x + 14x2 = -1 + 7x2 + -3x Reorder the terms: 29 + 44x + 14x2 = -1 + -3x + 7x2 Solving 29 + 44x + 14x2 = -1 + -3x + 7x2 Solving for variable 'x'. Reorder the terms: 29 + 1 + 44x + 3x + 14x2 + -7x2 = -1 + -3x + 7x2 + 1 + 3x + -7x2 Combine like terms: 29 + 1 = 30 30 + 44x + 3x + 14x2 + -7x2 = -1 + -3x + 7x2 + 1 + 3x + -7x2 Combine like terms: 44x + 3x = 47x 30 + 47x + 14x2 + -7x2 = -1 + -3x + 7x2 + 1 + 3x + -7x2 Combine like terms: 14x2 + -7x2 = 7x2 30 + 47x + 7x2 = -1 + -3x + 7x2 + 1 + 3x + -7x2 Reorder the terms: 30 + 47x + 7x2 = -1 + 1 + -3x + 3x + 7x2 + -7x2 Combine like terms: -1 + 1 = 0 30 + 47x + 7x2 = 0 + -3x + 3x + 7x2 + -7x2 30 + 47x + 7x2 = -3x + 3x + 7x2 + -7x2 Combine like terms: -3x + 3x = 0 30 + 47x + 7x2 = 0 + 7x2 + -7x2 30 + 47x + 7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 30 + 47x + 7x2 = 0 Factor a trinomial. (6 + x)(5 + 7x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {-6, -0.7142857143}
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