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Simplifying 25x2 = -45x + -18 Reorder the terms: 25x2 = -18 + -45x Solving 25x2 = -18 + -45x Solving for variable 'x'. Reorder the terms: 18 + 45x + 25x2 = -18 + -45x + 18 + 45x Reorder the terms: 18 + 45x + 25x2 = -18 + 18 + -45x + 45x Combine like terms: -18 + 18 = 0 18 + 45x + 25x2 = 0 + -45x + 45x 18 + 45x + 25x2 = -45x + 45x Combine like terms: -45x + 45x = 0 18 + 45x + 25x2 = 0 Factor a trinomial. (6 + 5x)(3 + 5x) = 0Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 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 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-1.2, -0.6}
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