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Simplifying (7 + -1x)(x + -7) = 0 Reorder the terms: (7 + -1x)(-7 + x) = 0 Multiply (7 + -1x) * (-7 + x) (7(-7 + x) + -1x * (-7 + x)) = 0 ((-7 * 7 + x * 7) + -1x * (-7 + x)) = 0 ((-49 + 7x) + -1x * (-7 + x)) = 0 (-49 + 7x + (-7 * -1x + x * -1x)) = 0 (-49 + 7x + (7x + -1x2)) = 0 Combine like terms: 7x + 7x = 14x (-49 + 14x + -1x2) = 0 Solving -49 + 14x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(7 + -1x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 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 = {7, 7}
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