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Simplifying (3x + 5)(x + -7) = 0 Reorder the terms: (5 + 3x)(x + -7) = 0 Reorder the terms: (5 + 3x)(-7 + x) = 0 Multiply (5 + 3x) * (-7 + x) (5(-7 + x) + 3x * (-7 + x)) = 0 ((-7 * 5 + x * 5) + 3x * (-7 + x)) = 0 ((-35 + 5x) + 3x * (-7 + x)) = 0 (-35 + 5x + (-7 * 3x + x * 3x)) = 0 (-35 + 5x + (-21x + 3x2)) = 0 Combine like terms: 5x + -21x = -16x (-35 + -16x + 3x2) = 0 Solving -35 + -16x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(7 + -1x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 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 = {-1.666666667, 7}
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