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Simplifying (x + 4)(x) = 77 Reorder the terms: (4 + x)(x) = 77 Reorder the terms for easier multiplication: x(4 + x) = 77 (4 * x + x * x) = 77 (4x + x2) = 77 Solving 4x + x2 = 77 Solving for variable 'x'. Reorder the terms: -77 + 4x + x2 = 77 + -77 Combine like terms: 77 + -77 = 0 -77 + 4x + x2 = 0 Factor a trinomial. (-11 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 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 = {-11, 7}
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