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Simplifying x2 + -7x + 12 = 1056 Reorder the terms: 12 + -7x + x2 = 1056 Solving 12 + -7x + x2 = 1056 Solving for variable 'x'. Reorder the terms: 12 + -1056 + -7x + x2 = 1056 + -1056 Combine like terms: 12 + -1056 = -1044 -1044 + -7x + x2 = 1056 + -1056 Combine like terms: 1056 + -1056 = 0 -1044 + -7x + x2 = 0 Factor a trinomial. (-29 + -1x)(36 + -1x) = 0Subproblem 1
Set the factor '(-29 + -1x)' equal to zero and attempt to solve: Simplifying -29 + -1x = 0 Solving -29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -1x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -1x = 0 + 29 -1x = 0 + 29 Combine like terms: 0 + 29 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29Subproblem 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 = {-29, 36}
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