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Simplifying 0.5(x + 7 + x + -1) * x = 1404 Reorder the terms: 0.5(7 + -1 + x + x) * x = 1404 Combine like terms: 7 + -1 = 6 0.5(6 + x + x) * x = 1404 Combine like terms: x + x = 2x 0.5(6 + 2x) * x = 1404 Reorder the terms for easier multiplication: 0.5x(6 + 2x) = 1404 (6 * 0.5x + 2x * 0.5x) = 1404 (3x + 1x2) = 1404 Solving 3x + 1x2 = 1404 Solving for variable 'x'. Reorder the terms: -1404 + 3x + 1x2 = 1404 + -1404 Combine like terms: 1404 + -1404 = 0 -1404 + 3x + 1x2 = 0 Factor a trinomial. (-39 + -1x)(36 + -1x) = 0Subproblem 1
Set the factor '(-39 + -1x)' equal to zero and attempt to solve: Simplifying -39 + -1x = 0 Solving -39 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -1x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -1x = 0 + 39 -1x = 0 + 39 Combine like terms: 0 + 39 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {-39, 36}
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