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Simplifying 2304 = 400 + 40x + x2 Solving 2304 = 400 + 40x + x2 Solving for variable 'x'. Combine like terms: 2304 + -400 = 1904 1904 + -40x + -1x2 = 400 + 40x + x2 + -400 + -40x + -1x2 Reorder the terms: 1904 + -40x + -1x2 = 400 + -400 + 40x + -40x + x2 + -1x2 Combine like terms: 400 + -400 = 0 1904 + -40x + -1x2 = 0 + 40x + -40x + x2 + -1x2 1904 + -40x + -1x2 = 40x + -40x + x2 + -1x2 Combine like terms: 40x + -40x = 0 1904 + -40x + -1x2 = 0 + x2 + -1x2 1904 + -40x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1904 + -40x + -1x2 = 0 Factor a trinomial. (28 + -1x)(68 + x) = 0Subproblem 1
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Subproblem 2
Set the factor '(68 + x)' equal to zero and attempt to solve: Simplifying 68 + x = 0 Solving 68 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + x = 0 + -68 x = 0 + -68 Combine like terms: 0 + -68 = -68 x = -68 Simplifying x = -68Solution
x = {28, -68}
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