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Simplifying 56 = (0.5x)(2x + 2) Remove parenthesis around (0.5x) 56 = 0.5x(2x + 2) Reorder the terms: 56 = 0.5x(2 + 2x) 56 = (2 * 0.5x + 2x * 0.5x) 56 = (1x + 1x2) Solving 56 = 1x + 1x2 Solving for variable 'x'. Reorder the terms: 56 + -1x + -1x2 = 1x + -1x + 1x2 + -1x2 Combine like terms: 1x + -1x = 0 56 + -1x + -1x2 = 0 + 1x2 + -1x2 56 + -1x + -1x2 = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 56 + -1x + -1x2 = 0 Factor a trinomial. (7 + -1x)(8 + x) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {7, -8}
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