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Simplifying 25x2 = 60x + -36 Reorder the terms: 25x2 = -36 + 60x Solving 25x2 = -36 + 60x Solving for variable 'x'. Reorder the terms: 36 + -60x + 25x2 = -36 + 60x + 36 + -60x Reorder the terms: 36 + -60x + 25x2 = -36 + 36 + 60x + -60x Combine like terms: -36 + 36 = 0 36 + -60x + 25x2 = 0 + 60x + -60x 36 + -60x + 25x2 = 60x + -60x Combine like terms: 60x + -60x = 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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