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Simplifying 2x2 + 15x + 18 = 1643 Reorder the terms: 18 + 15x + 2x2 = 1643 Solving 18 + 15x + 2x2 = 1643 Solving for variable 'x'. Reorder the terms: 18 + -1643 + 15x + 2x2 = 1643 + -1643 Combine like terms: 18 + -1643 = -1625 -1625 + 15x + 2x2 = 1643 + -1643 Combine like terms: 1643 + -1643 = 0 -1625 + 15x + 2x2 = 0 Factor a trinomial. (-65 + -2x)(25 + -1x) = 0Subproblem 1
Set the factor '(-65 + -2x)' equal to zero and attempt to solve: Simplifying -65 + -2x = 0 Solving -65 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -2x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -2x = 0 + 65 -2x = 0 + 65 Combine like terms: 0 + 65 = 65 -2x = 65 Divide each side by '-2'. x = -32.5 Simplifying x = -32.5Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-32.5, 25}
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