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Simplifying (x + -5)(-2x + 7) = 0 Reorder the terms: (-5 + x)(-2x + 7) = 0 Reorder the terms: (-5 + x)(7 + -2x) = 0 Multiply (-5 + x) * (7 + -2x) (-5(7 + -2x) + x(7 + -2x)) = 0 ((7 * -5 + -2x * -5) + x(7 + -2x)) = 0 ((-35 + 10x) + x(7 + -2x)) = 0 (-35 + 10x + (7 * x + -2x * x)) = 0 (-35 + 10x + (7x + -2x2)) = 0 Combine like terms: 10x + 7x = 17x (-35 + 17x + -2x2) = 0 Solving -35 + 17x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + x)(7 + -2x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {5, 3.5}
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