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Simplifying 2x2 + -69x + 540 = 0 Reorder the terms: 540 + -69x + 2x2 = 0 Solving 540 + -69x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + -1x)(45 + -2x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(45 + -2x)' equal to zero and attempt to solve: Simplifying 45 + -2x = 0 Solving 45 + -2x = 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 + -2x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 0 + -45 -2x = 0 + -45 Combine like terms: 0 + -45 = -45 -2x = -45 Divide each side by '-2'. x = 22.5 Simplifying x = 22.5Solution
x = {12, 22.5}
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