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Simplifying 13x2 + 35x + 21 = -12x2 + -25x + -15 Reorder the terms: 21 + 35x + 13x2 = -12x2 + -25x + -15 Reorder the terms: 21 + 35x + 13x2 = -15 + -25x + -12x2 Solving 21 + 35x + 13x2 = -15 + -25x + -12x2 Solving for variable 'x'. Reorder the terms: 21 + 15 + 35x + 25x + 13x2 + 12x2 = -15 + -25x + -12x2 + 15 + 25x + 12x2 Combine like terms: 21 + 15 = 36 36 + 35x + 25x + 13x2 + 12x2 = -15 + -25x + -12x2 + 15 + 25x + 12x2 Combine like terms: 35x + 25x = 60x 36 + 60x + 13x2 + 12x2 = -15 + -25x + -12x2 + 15 + 25x + 12x2 Combine like terms: 13x2 + 12x2 = 25x2 36 + 60x + 25x2 = -15 + -25x + -12x2 + 15 + 25x + 12x2 Reorder the terms: 36 + 60x + 25x2 = -15 + 15 + -25x + 25x + -12x2 + 12x2 Combine like terms: -15 + 15 = 0 36 + 60x + 25x2 = 0 + -25x + 25x + -12x2 + 12x2 36 + 60x + 25x2 = -25x + 25x + -12x2 + 12x2 Combine like terms: -25x + 25x = 0 36 + 60x + 25x2 = 0 + -12x2 + 12x2 36 + 60x + 25x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 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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