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Simplifying 45x2 + 86x + 36 = -4x2 + 2x Reorder the terms: 36 + 86x + 45x2 = -4x2 + 2x Reorder the terms: 36 + 86x + 45x2 = 2x + -4x2 Solving 36 + 86x + 45x2 = 2x + -4x2 Solving for variable 'x'. Reorder the terms: 36 + 86x + -2x + 45x2 + 4x2 = 2x + -4x2 + -2x + 4x2 Combine like terms: 86x + -2x = 84x 36 + 84x + 45x2 + 4x2 = 2x + -4x2 + -2x + 4x2 Combine like terms: 45x2 + 4x2 = 49x2 36 + 84x + 49x2 = 2x + -4x2 + -2x + 4x2 Reorder the terms: 36 + 84x + 49x2 = 2x + -2x + -4x2 + 4x2 Combine like terms: 2x + -2x = 0 36 + 84x + 49x2 = 0 + -4x2 + 4x2 36 + 84x + 49x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 36 + 84x + 49x2 = 0 Factor a trinomial. (6 + 7x)(6 + 7x) = 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 '(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 = -0.8571428571Solution
x = {-0.8571428571, -0.8571428571}
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