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Simplifying 5x(5x + 14) = 10x + -36 Reorder the terms: 5x(14 + 5x) = 10x + -36 (14 * 5x + 5x * 5x) = 10x + -36 (70x + 25x2) = 10x + -36 Reorder the terms: 70x + 25x2 = -36 + 10x Solving 70x + 25x2 = -36 + 10x Solving for variable 'x'. Reorder the terms: 36 + 70x + -10x + 25x2 = -36 + 10x + 36 + -10x Combine like terms: 70x + -10x = 60x 36 + 60x + 25x2 = -36 + 10x + 36 + -10x Reorder the terms: 36 + 60x + 25x2 = -36 + 36 + 10x + -10x Combine like terms: -36 + 36 = 0 36 + 60x + 25x2 = 0 + 10x + -10x 36 + 60x + 25x2 = 10x + -10x Combine like terms: 10x + -10x = 0 36 + 60x + 25x2 = 0 Factor a trinomial. (6 + 5x)(6 + 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 '(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 = {-1.2, -1.2}
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