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Simplifying (11 + -8x)(x + -7) = 0 Reorder the terms: (11 + -8x)(-7 + x) = 0 Multiply (11 + -8x) * (-7 + x) (11(-7 + x) + -8x * (-7 + x)) = 0 ((-7 * 11 + x * 11) + -8x * (-7 + x)) = 0 ((-77 + 11x) + -8x * (-7 + x)) = 0 (-77 + 11x + (-7 * -8x + x * -8x)) = 0 (-77 + 11x + (56x + -8x2)) = 0 Combine like terms: 11x + 56x = 67x (-77 + 67x + -8x2) = 0 Solving -77 + 67x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(11 + -8x) = 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 '(11 + -8x)' equal to zero and attempt to solve: Simplifying 11 + -8x = 0 Solving 11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 0 + -11 -8x = 0 + -11 Combine like terms: 0 + -11 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375Solution
x = {7, 1.375}
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