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Simplifying 0 = x2 + 10x + -1064 Reorder the terms: 0 = -1064 + 10x + x2 Solving 0 = -1064 + 10x + x2 Solving for variable 'x'. Combine like terms: 0 + 1064 = 1064 1064 + -10x + -1x2 = -1064 + 10x + x2 + 1064 + -10x + -1x2 Reorder the terms: 1064 + -10x + -1x2 = -1064 + 1064 + 10x + -10x + x2 + -1x2 Combine like terms: -1064 + 1064 = 0 1064 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2 1064 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 1064 + -10x + -1x2 = 0 + x2 + -1x2 1064 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1064 + -10x + -1x2 = 0 Factor a trinomial. (28 + -1x)(38 + 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 '(38 + x)' equal to zero and attempt to solve: Simplifying 38 + x = 0 Solving 38 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + x = 0 + -38 x = 0 + -38 Combine like terms: 0 + -38 = -38 x = -38 Simplifying x = -38Solution
x = {28, -38}
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