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Simplifying (-1x + -15)(-5x + -34) = 0 Reorder the terms: (-15 + -1x)(-5x + -34) = 0 Reorder the terms: (-15 + -1x)(-34 + -5x) = 0 Multiply (-15 + -1x) * (-34 + -5x) (-15(-34 + -5x) + -1x * (-34 + -5x)) = 0 ((-34 * -15 + -5x * -15) + -1x * (-34 + -5x)) = 0 ((510 + 75x) + -1x * (-34 + -5x)) = 0 (510 + 75x + (-34 * -1x + -5x * -1x)) = 0 (510 + 75x + (34x + 5x2)) = 0 Combine like terms: 75x + 34x = 109x (510 + 109x + 5x2) = 0 Solving 510 + 109x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(34 + 5x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
Set the factor '(34 + 5x)' equal to zero and attempt to solve: Simplifying 34 + 5x = 0 Solving 34 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 5x = 0 + -34 5x = 0 + -34 Combine like terms: 0 + -34 = -34 5x = -34 Divide each side by '5'. x = -6.8 Simplifying x = -6.8Solution
x = {-15, -6.8}
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