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Simplifying x2 + x + -2970 = 0 Reorder the terms: -2970 + x + x2 = 0 Solving -2970 + x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-55 + -1x)(54 + -1x) = 0Subproblem 1
Set the factor '(-55 + -1x)' equal to zero and attempt to solve: Simplifying -55 + -1x = 0 Solving -55 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -1x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -1x = 0 + 55 -1x = 0 + 55 Combine like terms: 0 + 55 = 55 -1x = 55 Divide each side by '-1'. x = -55 Simplifying x = -55Subproblem 2
Set the factor '(54 + -1x)' equal to zero and attempt to solve: Simplifying 54 + -1x = 0 Solving 54 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -1x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 0 + -54 -1x = 0 + -54 Combine like terms: 0 + -54 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54Solution
x = {-55, 54}
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