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Simplifying 2(x + -7) = x(x + -7) Reorder the terms: 2(-7 + x) = x(x + -7) (-7 * 2 + x * 2) = x(x + -7) (-14 + 2x) = x(x + -7) Reorder the terms: -14 + 2x = x(-7 + x) -14 + 2x = (-7 * x + x * x) -14 + 2x = (-7x + x2) Solving -14 + 2x = -7x + x2 Solving for variable 'x'. Combine like terms: 2x + 7x = 9x -14 + 9x + -1x2 = -7x + x2 + 7x + -1x2 Reorder the terms: -14 + 9x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 -14 + 9x + -1x2 = 0 + x2 + -1x2 -14 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + 9x + -1x2 = 0 Factor a trinomial. (-7 + x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {7, 2}
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