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Simplifying -1x2 + 56x + -784 = 0 Reorder the terms: -784 + 56x + -1x2 = 0 Solving -784 + 56x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-28 + x)(28 + -1x) = 0Subproblem 1
Set the factor '(-28 + x)' equal to zero and attempt to solve: Simplifying -28 + x = 0 Solving -28 + x = 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 + x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x = 0 + 28 x = 0 + 28 Combine like terms: 0 + 28 = 28 x = 28 Simplifying x = 28Subproblem 2
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 = 28Solution
x = {28, 28}
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