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Simplifying 0 = 195x2 + 778x + 775 Reorder the terms: 0 = 775 + 778x + 195x2 Solving 0 = 775 + 778x + 195x2 Solving for variable 'x'. Combine like terms: 0 + -775 = -775 -775 + -778x + -195x2 = 775 + 778x + 195x2 + -775 + -778x + -195x2 Reorder the terms: -775 + -778x + -195x2 = 775 + -775 + 778x + -778x + 195x2 + -195x2 Combine like terms: 775 + -775 = 0 -775 + -778x + -195x2 = 0 + 778x + -778x + 195x2 + -195x2 -775 + -778x + -195x2 = 778x + -778x + 195x2 + -195x2 Combine like terms: 778x + -778x = 0 -775 + -778x + -195x2 = 0 + 195x2 + -195x2 -775 + -778x + -195x2 = 195x2 + -195x2 Combine like terms: 195x2 + -195x2 = 0 -775 + -778x + -195x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(775 + 778x + 195x2) = 0 Factor a trinomial. -1((31 + 15x)(25 + 13x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(31 + 15x)' equal to zero and attempt to solve: Simplifying 31 + 15x = 0 Solving 31 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 15x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 15x = 0 + -31 15x = 0 + -31 Combine like terms: 0 + -31 = -31 15x = -31 Divide each side by '15'. x = -2.066666667 Simplifying x = -2.066666667Subproblem 2
Set the factor '(25 + 13x)' equal to zero and attempt to solve: Simplifying 25 + 13x = 0 Solving 25 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 13x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 13x = 0 + -25 13x = 0 + -25 Combine like terms: 0 + -25 = -25 13x = -25 Divide each side by '13'. x = -1.923076923 Simplifying x = -1.923076923Solution
x = {-2.066666667, -1.923076923}
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