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Simplifying x2 + -45x = 4050 Reorder the terms: -45x + x2 = 4050 Solving -45x + x2 = 4050 Solving for variable 'x'. Reorder the terms: -4050 + -45x + x2 = 4050 + -4050 Combine like terms: 4050 + -4050 = 0 -4050 + -45x + x2 = 0 Factor a trinomial. (-45 + -1x)(90 + -1x) = 0Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve: Simplifying 90 + -1x = 0 Solving 90 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -1x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -1x = 0 + -90 -1x = 0 + -90 Combine like terms: 0 + -90 = -90 -1x = -90 Divide each side by '-1'. x = 90 Simplifying x = 90Solution
x = {-45, 90}
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