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Simplifying 25x2 = -65x + -42 Reorder the terms: 25x2 = -42 + -65x Solving 25x2 = -42 + -65x Solving for variable 'x'. Reorder the terms: 42 + 65x + 25x2 = -42 + -65x + 42 + 65x Reorder the terms: 42 + 65x + 25x2 = -42 + 42 + -65x + 65x Combine like terms: -42 + 42 = 0 42 + 65x + 25x2 = 0 + -65x + 65x 42 + 65x + 25x2 = -65x + 65x Combine like terms: -65x + 65x = 0 42 + 65x + 25x2 = 0 Factor a trinomial. (7 + 5x)(6 + 5x) = 0Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Subproblem 2
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 = -1.2Solution
x = {-1.4, -1.2}
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