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Simplifying 7x2 + 14x + 6 = -5x + -7x2 Reorder the terms: 6 + 14x + 7x2 = -5x + -7x2 Solving 6 + 14x + 7x2 = -5x + -7x2 Solving for variable 'x'. Reorder the terms: 6 + 14x + 5x + 7x2 + 7x2 = -5x + -7x2 + 5x + 7x2 Combine like terms: 14x + 5x = 19x 6 + 19x + 7x2 + 7x2 = -5x + -7x2 + 5x + 7x2 Combine like terms: 7x2 + 7x2 = 14x2 6 + 19x + 14x2 = -5x + -7x2 + 5x + 7x2 Reorder the terms: 6 + 19x + 14x2 = -5x + 5x + -7x2 + 7x2 Combine like terms: -5x + 5x = 0 6 + 19x + 14x2 = 0 + -7x2 + 7x2 6 + 19x + 14x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 6 + 19x + 14x2 = 0 Factor a trinomial. (6 + 7x)(1 + 2x) = 0Subproblem 1
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 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 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.8571428571, -0.5}
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