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Simplifying 3x2 + -8x + 18 = 573 Reorder the terms: 18 + -8x + 3x2 = 573 Solving 18 + -8x + 3x2 = 573 Solving for variable 'x'. Reorder the terms: 18 + -573 + -8x + 3x2 = 573 + -573 Combine like terms: 18 + -573 = -555 -555 + -8x + 3x2 = 573 + -573 Combine like terms: 573 + -573 = 0 -555 + -8x + 3x2 = 0 Factor a trinomial. (-37 + -3x)(15 + -1x) = 0Subproblem 1
Set the factor '(-37 + -3x)' equal to zero and attempt to solve: Simplifying -37 + -3x = 0 Solving -37 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -3x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -3x = 0 + 37 -3x = 0 + 37 Combine like terms: 0 + 37 = 37 -3x = 37 Divide each side by '-3'. x = -12.33333333 Simplifying x = -12.33333333Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-12.33333333, 15}
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