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Simplifying (480 + -1x)(480 + -1x) = 0 Multiply (480 + -1x) * (480 + -1x) (480(480 + -1x) + -1x * (480 + -1x)) = 0 ((480 * 480 + -1x * 480) + -1x * (480 + -1x)) = 0 ((230400 + -480x) + -1x * (480 + -1x)) = 0 (230400 + -480x + (480 * -1x + -1x * -1x)) = 0 (230400 + -480x + (-480x + 1x2)) = 0 Combine like terms: -480x + -480x = -960x (230400 + -960x + 1x2) = 0 Solving 230400 + -960x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (480 + -1x)(480 + -1x) = 0Subproblem 1
Set the factor '(480 + -1x)' equal to zero and attempt to solve: Simplifying 480 + -1x = 0 Solving 480 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-480' to each side of the equation. 480 + -480 + -1x = 0 + -480 Combine like terms: 480 + -480 = 0 0 + -1x = 0 + -480 -1x = 0 + -480 Combine like terms: 0 + -480 = -480 -1x = -480 Divide each side by '-1'. x = 480 Simplifying x = 480Subproblem 2
Set the factor '(480 + -1x)' equal to zero and attempt to solve: Simplifying 480 + -1x = 0 Solving 480 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-480' to each side of the equation. 480 + -480 + -1x = 0 + -480 Combine like terms: 480 + -480 = 0 0 + -1x = 0 + -480 -1x = 0 + -480 Combine like terms: 0 + -480 = -480 -1x = -480 Divide each side by '-1'. x = 480 Simplifying x = 480Solution
x = {480, 480}
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