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Simplifying (X + -7)(5X + -3) = 0 Reorder the terms: (-7 + X)(5X + -3) = 0 Reorder the terms: (-7 + X)(-3 + 5X) = 0 Multiply (-7 + X) * (-3 + 5X) (-7(-3 + 5X) + X(-3 + 5X)) = 0 ((-3 * -7 + 5X * -7) + X(-3 + 5X)) = 0 ((21 + -35X) + X(-3 + 5X)) = 0 (21 + -35X + (-3 * X + 5X * X)) = 0 (21 + -35X + (-3X + 5X2)) = 0 Combine like terms: -35X + -3X = -38X (21 + -38X + 5X2) = 0 Solving 21 + -38X + 5X2 = 0 Solving for variable 'X'. Factor a trinomial. (3 + -5X)(7 + -1X) = 0Subproblem 1
Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Divide each side by '-5'. X = 0.6 Simplifying X = 0.6Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {0.6, 7}
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